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33131454420 = 2235432734091
BaseRepresentation
bin11110110110110010…
…011101111111010100
310011111222200021021110
4132312302131333110
51020323123020140
623115334015020
72252012500401
oct366662357724
9104458607243
1033131454420
111306192a099
1265077a7470
1331800840cc
1418642ad2a8
15cdd9d7380
hex7b6c9dfd4

33131454420 has 144 divisors (see below), whose sum is σ = 96300211392. Its totient is φ = 8509294080.

The previous prime is 33131454401. The next prime is 33131454439. The reversal of 33131454420 is 2445413133.

It is an interprime number because it is at equal distance from previous prime (33131454401) and next prime (33131454439).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8096575 + ... + 8100665.

It is an arithmetic number, because the mean of its divisors is an integer number (668751468).

Almost surely, 233131454420 is an apocalyptic number.

33131454420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33131454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48150105696).

33131454420 is an abundant number, since it is smaller than the sum of its proper divisors (63168756972).

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

33131454420 is a wasteful number, since it uses less digits than its factorization.

33131454420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 33131454420 its reverse (2445413133), we get a palindrome (35576867553).

The spelling of 33131454420 in words is "thirty-three billion, one hundred thirty-one million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 73 86 129 146 172 215 219 258 292 365 430 438 516 645 730 860 876 1095 1290 1460 1849 2190 2580 3139 3698 4091 4380 5547 6278 7396 8182 9245 9417 11094 12273 12556 15695 16364 18490 18834 20455 22188 24546 27735 31390 36980 37668 40910 47085 49092 55470 61365 62780 81820 94170 110940 122730 134977 175913 188340 245460 269954 298643 351826 404931 527739 539908 597286 674885 703652 809862 879565 895929 1055478 1194572 1349770 1493215 1619724 1759130 1791858 2024655 2110956 2638695 2699540 2986430 3518260 3583716 4049310 4479645 5277390 5972860 7564259 8098620 8959290 10554780 12841649 15128518 17918580 22692777 25683298 30257036 37821295 38524947 45385554 51366596 64208245 75642590 77049894 90771108 113463885 128416490 151285180 154099788 192624735 226927770 256832980 385249470 453855540 552190907 770498940 1104381814 1656572721 2208763628 2760954535 3313145442 5521909070 6626290884 8282863605 11043818140 16565727210 33131454420