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10024142001 = 3298910312569
BaseRepresentation
bin10010101010111110…
…00100010010110001
3221212121012011201120
421111133010102301
5131012140021001
64334404052453
7503256541536
oct112537042261
927777164646
1010024142001
114284404285
121b39094129
13c399c0c93
146b1448d8d
153da07b236
hex2557c44b1

10024142001 has 32 divisors (see below), whose sum is σ = 14118624000. Its totient is φ = 6317380608.

The previous prime is 10024141969. The next prime is 10024142033.

10024142001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10024141969) and next prime (10024142033).

It is not a de Polignac number, because 10024142001 - 25 = 10024141969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10024142041) 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, 791245 + ... + 803813.

It is an arithmetic number, because the mean of its divisors is an integer number (441207000).

Almost surely, 210024142001 is an apocalyptic number.

It is an amenable number.

10024142001 is a deficient number, since it is larger than the sum of its proper divisors (4094481999).

10024142001 is a wasteful number, since it uses less digits than its factorization.

10024142001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12793.

The product of its (nonzero) digits is 64, while the sum is 15.

The spelling of 10024142001 in words is "ten billion, twenty-four million, one hundred forty-two thousand, one".

Divisors: 1 3 29 87 89 103 267 309 2581 2987 7743 8961 9167 12569 27501 37707 265843 364501 797529 1093503 1118641 1294607 3355923 3883821 32440589 37543603 97321767 112630809 115220023 345660069 3341380667 10024142001