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23032122102101 = 7294113928516983
BaseRepresentation
bin1010011110010100101010…
…11101001101000101010101
310000112211221012010122022002
411033022111131031011111
511004324241224231401
6120552451045445045
74565005312444310
oct517122535150525
9100484835118262
1023032122102101
11737a960531532
1226bb943110785
13cb0bc5a34a38
14598a9135d977
1529e1b9684a6b
hex14f29574d155

23032122102101 has 64 divisors (see below), whose sum is σ = 28108800921600. Its totient is φ = 18453258432000.

The previous prime is 23032122102061. The next prime is 23032122102107. The reversal of 23032122102101 is 10120122123032.

It is not a de Polignac number, because 23032122102101 - 210 = 23032122101077 is a prime.

It is a super-2 number, since 2×230321221021012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032122102107) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3298309856 + ... + 3298316838.

It is an arithmetic number, because the mean of its divisors is an integer number (439200014400).

Almost surely, 223032122102101 is an apocalyptic number.

It is an amenable number.

23032122102101 is a deficient number, since it is larger than the sum of its proper divisors (5076678819499).

23032122102101 is a wasteful number, since it uses less digits than its factorization.

23032122102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 23032122102101 its reverse (10120122123032), we get a palindrome (33152244225133).

The spelling of 23032122102101 in words is "twenty-three trillion, thirty-two billion, one hundred twenty-two million, one hundred two thousand, one hundred one".

Divisors: 1 7 29 41 139 203 287 973 1189 2851 4031 5699 6983 8323 19957 28217 39893 48881 82679 116891 165271 202507 286303 396289 578753 818237 970637 1156897 1417549 2004121 2774023 3389839 6794459 8302787 11492381 16247849 19908533 23728873 28148473 39796117 58119509 80446667 113734943 139359731 197039311 278572819 471187621 577347457 816249853 1154087393 2767286087 3298313347 4041432199 5713748971 8078611751 19371002609 23671245737 80251296523 113458729567 165698720159 561759075661 794211106969 3290303157443 23032122102101