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100001020001211 = 32737309111387871
BaseRepresentation
bin10110101111001101001101…
…010001100011101110111011
3111010002000010000121221220100
4112233031031101203232323
5101101404042110014321
6552403500120530443
730030556333045560
oct2657151521435673
9433060100557810
10100001020001211
112995521585118a
12b270a4b320a23
1343a5095566c64
141a9a10a488867
15b863c9102326
hex5af34d463bbb

100001020001211 has 48 divisors (see below), whose sum is σ = 169548305891328. Its totient is φ = 55597183963200.

The previous prime is 100001020001203. The next prime is 100001020001227. The reversal of 100001020001211 is 112100020100001.

It is a happy number.

It is not a de Polignac number, because 100001020001211 - 23 = 100001020001203 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100001020001193 and 100001020001202.

It is not an unprimeable number, because it can be changed into a prime (100001020001231) 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, 71359606 + ... + 72747476.

It is an arithmetic number, because the mean of its divisors is an integer number (3532256372736).

Almost surely, 2100001020001211 is an apocalyptic number.

100001020001211 is a deficient number, since it is larger than the sum of its proper divisors (69547285890117).

100001020001211 is a wasteful number, since it uses less digits than its factorization.

100001020001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418832 (or 1418829 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001020001211 its reverse (112100020100001), we get a palindrome (212101040101212).

The spelling of 100001020001211 in words is "one hundred trillion, one billion, twenty million, one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 30911 92733 216377 278199 649131 1143707 1387871 1947393 3431121 4163613 8005949 9715097 10293363 12490839 24017847 29145291 51351227 72053541 87435873 154053681 359458589 462161043 1078375767 3235127301 42900480481 128701441443 300303363367 386104324329 900910090101 1587317777797 2702730270303 4761953333391 11111224444579 14285860000173 33333673333737 100001020001211