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1020100021002 = 232474335095471
BaseRepresentation
bin11101101100000101011…
…00110000101100001010
310121112001112011021202100
432312002230300230022
5113203131101133002
62100343311414230
7133462013053236
oct16660254605412
93545045137670
101020100021002
113636929601a7
12145851524376
137526c5c36aa
1437531b275c6
151b80618d11c
hexed82b30b0a

1020100021002 has 96 divisors (see below), whose sum is σ = 2267314882560. Its totient is φ = 331317112320.

The previous prime is 1020100020967. The next prime is 1020100021009. The reversal of 1020100021002 is 2001200010201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020100021009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186453127 + ... + 186458597.

It is an arithmetic number, because the mean of its divisors is an integer number (23617863360).

Almost surely, 21020100021002 is an apocalyptic number.

1020100021002 is an abundant number, since it is smaller than the sum of its proper divisors (1247214861558).

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

1020100021002 is a wasteful number, since it uses less digits than its factorization.

1020100021002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020100021002 its reverse (2001200010201), we get a palindrome (3021300031203).

The spelling of 1020100021002 in words is "one trillion, twenty billion, one hundred million, twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 433 509 846 866 1018 1299 1527 2598 3054 3897 4581 5471 7794 9162 10942 16413 20351 23923 32826 40702 47846 49239 61053 71769 98478 122106 143538 183159 215307 220397 257137 366318 430614 440794 514274 661191 771411 1322382 1542822 1983573 2314233 2368943 2784739 3967146 4628466 4737886 5569478 7106829 8354217 10358659 14213658 16708434 20717318 21320487 25062651 31075977 42640974 50125302 62151954 93227931 111340321 130882733 186455862 222680642 261765466 334020963 392648199 668041926 785296398 1002062889 1177944597 1205791987 2004125778 2355889194 2411583974 3617375961 7234751922 10852127883 21704255766 56672223389 113344446778 170016670167 340033340334 510050010501 1020100021002