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230121341024 = 25172291396173
BaseRepresentation
bin1101011001010001001…
…1010000000001100000
3210222222112220100110112
43112110103100001200
512232242030403044
6253414414550452
722424423060531
oct3262423200140
9728875810415
10230121341024
1189659552573
1238723208428
131891488a6a3
14b1d06b4688
155ebca6b09e
hex35944d0060

230121341024 has 144 divisors (see below), whose sum is σ = 501527602800. Its totient is φ = 103789142016.

The previous prime is 230121341017. The next prime is 230121341029. The reversal of 230121341024 is 420143121032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230121341029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37275602 + ... + 37281774.

It is an arithmetic number, because the mean of its divisors is an integer number (3482830575).

Almost surely, 2230121341024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230121341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250763801400).

230121341024 is an abundant number, since it is smaller than the sum of its proper divisors (271406261776).

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

230121341024 is a wasteful number, since it uses less digits than its factorization.

230121341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 230121341024 its reverse (420143121032), we get a palindrome (650264462056).

The spelling of 230121341024 in words is "two hundred thirty billion, one hundred twenty-one million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 139 232 272 278 289 464 493 544 556 578 928 986 1112 1156 1972 2224 2312 2363 3944 4031 4448 4624 4726 6173 7888 8062 8381 9248 9452 12346 15776 16124 16762 18904 24692 32248 33524 37808 40171 49384 64496 67048 68527 75616 80342 98768 104941 128992 134096 137054 160684 179017 197536 209882 268192 274108 321368 358034 419764 548216 642736 716068 839528 858047 1096432 1164959 1285472 1432136 1679056 1716094 1783997 2192864 2329918 2864272 3043289 3358112 3432188 3567994 4659836 5728544 6086578 6864376 7135988 9319672 12173156 13728752 14271976 14586799 18639344 24346312 24883363 27457504 28543952 29173598 37278688 48692624 49766726 51735913 57087904 58347196 97385248 99533452 103471826 116694392 199066904 206943652 233388784 247975583 398133808 413887304 423017171 466777568 495951166 796267616 827774608 846034342 991902332 1655549216 1692068684 1983804664 3384137368 3967609328 6768274736 7191291907 7935218656 13536549472 14382583814 28765167628 57530335256 115060670512 230121341024