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20123010240 = 2635149140681
BaseRepresentation
bin10010101111011011…
…001100010011000000
31220221101222211120120
4102233123030103000
5312202442311430
613124441540240
71311444523224
oct225733142300
956841884516
1020123010240
118596a07483
123a971a4680
131b89016a68
14d8c786784
157cb968610
hex4af6cc4c0

20123010240 has 112 divisors (see below), whose sum is σ = 64319810400. Its totient is φ = 5330083840.

The previous prime is 20123010239. The next prime is 20123010241. The reversal of 20123010240 is 4201032102.

It is an interprime number because it is at equal distance from previous prime (20123010239) and next prime (20123010241).

It is a super-2 number, since 2×201230102402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20123010241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72700 + ... + 213380.

Almost surely, 220123010240 is an apocalyptic number.

20123010240 is a gapful number since it is divisible by the number (20) 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 20123010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159905200).

20123010240 is an abundant number, since it is smaller than the sum of its proper divisors (44196800160).

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

20123010240 is a wasteful number, since it uses less digits than its factorization.

20123010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140850 (or 140840 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20123010240 its reverse (4201032102), we get a palindrome (24324042342).

The spelling of 20123010240 in words is "twenty billion, one hundred twenty-three million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 149 160 192 240 298 320 447 480 596 745 894 960 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 9536 11920 14304 17880 23840 28608 35760 47680 71520 140681 143040 281362 422043 562724 703405 844086 1125448 1406810 1688172 2110215 2250896 2813620 3376344 4220430 4501792 5627240 6752688 8440860 9003584 11254480 13505376 16881720 20961469 22508960 27010752 33763440 41922938 45017920 62884407 67526880 83845876 104807345 125768814 135053760 167691752 209614690 251537628 314422035 335383504 419229380 503075256 628844070 670767008 838458760 1006150512 1257688140 1341534016 1676917520 2012301024 2515376280 3353835040 4024602048 5030752560 6707670080 10061505120 20123010240