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31440202110270 = 2335596013283939
BaseRepresentation
bin1110010011000001111100…
…00101000001010100111110
311010022122122202001100122000
413021200332011001110332
513110104013220012040
6150511232432403130
76423323342343642
oct711407605012476
9133278582040560
1031440202110270
11a0217954a0868
1236393a40a64a6
131470a4bc41345
147a99dcd34c22
15397c72545130
hex1c983e14153e

31440202110270 has 128 divisors (see below), whose sum is σ = 85403457216000. Its totient is φ = 8228235052800.

The previous prime is 31440202110269. The next prime is 31440202110271. The reversal of 31440202110270 is 7201120204413.

31440202110270 is a `hidden beast` number, since 3 + 1 + 440 + 2 + 0 + 211 + 0 + 2 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31440202110269) and next prime (31440202110271).

It is a super-2 number, since 2×314402021102702 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31440202110271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7931961 + ... + 11215899.

It is an arithmetic number, because the mean of its divisors is an integer number (667214509500).

Almost surely, 231440202110270 is an apocalyptic number.

31440202110270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440202110270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42701728608000).

31440202110270 is an abundant number, since it is smaller than the sum of its proper divisors (53963255105730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31440202110270 is a wasteful number, since it uses less digits than its factorization.

31440202110270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284615 (or 3284609 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 31440202110270 its reverse (7201120204413), we get a palindrome (38641322314683).

The spelling of 31440202110270 in words is "thirty-one trillion, four hundred forty billion, two hundred two million, one hundred ten thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 601 885 1062 1202 1593 1770 1803 2655 3005 3186 3606 5310 5409 6010 7965 9015 10818 15930 16227 18030 27045 32454 35459 54090 70918 81135 106377 162270 177295 212754 319131 354590 531885 638262 957393 1063770 1595655 1914786 3191310 3283939 4786965 6567878 9573930 9851817 16419695 19703634 29555451 32839390 49259085 59110902 88666353 98518170 147777255 177332706 193752401 295554510 387504802 443331765 581257203 886663530 968762005 1162514406 1743771609 1937524010 1973647339 2906286015 3487543218 3947294678 5231314827 5812572030 5920942017 8718858045 9868236695 10462629654 11841884034 17437716090 17762826051 19736473390 26156574135 29604710085 35525652102 52313148270 53288478153 59209420170 88814130255 106576956306 116445193001 177628260510 232890386002 266442390765 349335579003 532884781530 582225965005 698671158006 1048006737009 1164451930010 1746677895015 2096013474018 3144020211027 3493355790030 5240033685045 6288040422054 10480067370090 15720101055135 31440202110270