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10231242021 = 32711132939161
BaseRepresentation
bin10011000011101010…
…00101110100100101
3222102000212221112200
421201311011310211
5131423144221041
64411123005113
7511353056640
oct114165056445
928360787480
1010231242021
1143802a6620
121b96509799
13c70892b80
146d0b58a57
153ed3391b6
hex261d45d25

10231242021 has 96 divisors (see below), whose sum is σ = 20527153920. Its totient is φ = 4736793600.

The previous prime is 10231242013. The next prime is 10231242103. The reversal of 10231242021 is 12024213201.

It is a happy number.

10231242021 is a `hidden beast` number, since 10 + 231 + 2 + 420 + 2 + 1 = 666.

It is not a de Polignac number, because 10231242021 - 23 = 10231242013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10231241985 and 10231242003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231242001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241681 + ... + 280841.

It is an arithmetic number, because the mean of its divisors is an integer number (213824520).

Almost surely, 210231242021 is an apocalyptic number.

10231242021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10231242021 is an abundant number, since it is smaller than the sum of its proper divisors (10295911899).

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

10231242021 is a wasteful number, since it uses less digits than its factorization.

10231242021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39227 (or 39224 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10231242021 its reverse (12024213201), we get a palindrome (22255455222).

It can be divided in two parts, 10231 and 242021, that added together give a palindrome (252252).

The spelling of 10231242021 in words is "ten billion, two hundred thirty-one million, two hundred forty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 29 33 39 63 77 87 91 99 117 143 203 231 261 273 319 377 429 609 693 819 957 1001 1131 1287 1827 2233 2639 2871 3003 3393 4147 6699 7917 9009 12441 20097 23751 29029 37323 39161 87087 117483 261261 274127 352449 430771 509093 822381 1135669 1292313 1527279 2467143 3015397 3407007 3563651 3876939 4581837 5600023 7949683 9046191 10221021 10690953 12492359 14763697 16800069 23849049 27138573 32072859 37477077 39200161 44291091 50400207 71547147 87446513 103345879 112431231 117600483 132873273 162400667 262339539 310037637 352801449 487202001 787018617 930112911 1136804669 1461606003 3410414007 10231242021