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100121010001983 = 3359931321197651
BaseRepresentation
bin10110110000111100111101…
…001111000101100000111111
3111010111110211022222120001000
4112300330331033011200333
5101110340312030030413
6552534542415021343
730042334651163655
oct2660747517054077
9433443738876030
10100121010001983
11299a1099aa6783
12b29015780a853
1343b34a865cc09
141aa1c5034add5
15b8959d280073
hex5b0f3d3c583f

100121010001983 has 32 divisors (see below), whose sum is σ = 148580542656000. Its totient is φ = 66633444072000.

The previous prime is 100121010001981. The next prime is 100121010001997. The reversal of 100121010001983 is 389100010121001.

It is not a de Polignac number, because 100121010001983 - 21 = 100121010001981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121010001981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506455708 + ... + 506653358.

It is an arithmetic number, because the mean of its divisors is an integer number (4643141958000).

Almost surely, 2100121010001983 is an apocalyptic number.

100121010001983 is a deficient number, since it is larger than the sum of its proper divisors (48459532654017).

100121010001983 is a wasteful number, since it uses less digits than its factorization.

100121010001983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229580 (or 229574 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 100121010001983 its reverse (389100010121001), we get a palindrome (489221020122984).

The spelling of 100121010001983 in words is "one hundred trillion, one hundred twenty-one billion, ten million, one thousand, nine hundred eighty-three".

Divisors: 1 3 9 27 599 1797 5391 16173 31321 93963 197651 281889 592953 845667 1778859 5336577 18761279 56283837 118392949 168851511 355178847 506554533 1065536541 3196609623 6190626971 18571880913 55715642739 167146928217 3708185555629 11124556666887 33373670000661 100121010001983