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101121101092 = 221114945733751
BaseRepresentation
bin101111000101101001…
…0011000110100100100
3100200000022012011211101
41132023102120310210
53124044000213332
6114242052045444
710206606114544
oct1361322306444
9320008164741
10101121101092
1139981252a30
1217721303884
1396c6b6aa7b
144c73cd3324
15296c88cae7
hex178b498d24

101121101092 has 48 divisors (see below), whose sum is σ = 194776041600. Its totient is φ = 45554400000.

The previous prime is 101121101087. The next prime is 101121101101. The reversal of 101121101092 is 290101121101.

It is a super-3 number, since 3×1011211010923 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979217 + ... + 3012967.

It is an arithmetic number, because the mean of its divisors is an integer number (4057834200).

Almost surely, 2101121101092 is an apocalyptic number.

It is an amenable number.

101121101092 is a deficient number, since it is larger than the sum of its proper divisors (93654940508).

101121101092 is a wasteful number, since it uses less digits than its factorization.

101121101092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34372 (or 34370 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 101121101092 its reverse (290101121101), we get a palindrome (391222222193).

The spelling of 101121101092 in words is "one hundred one billion, one hundred twenty-one million, one hundred one thousand, ninety-two".

Divisors: 1 2 4 11 22 44 149 298 457 596 914 1639 1828 3278 5027 6556 10054 20108 33751 67502 68093 135004 136186 272372 371261 742522 749023 1485044 1498046 2996092 5028899 10057798 15424207 20115596 30848414 55317889 61696828 110635778 169666277 221271556 339332554 678665108 2298206843 4596413686 9192827372 25280275273 50560550546 101121101092