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10142021101 = 314761114113
BaseRepresentation
bin10010111001000001…
…01111010111101101
3222011211000001110011
421130200233113231
5131232324133401
64354214413221
7506220520432
oct113440572755
928154001404
1010142021101
1143349a7623
121b70661211
13c58254724
146c2d71b89
153e55b3451
hex25c82f5ed

10142021101 has 16 divisors (see below), whose sum is σ = 10867304448. Its totient is φ = 9448473600.

The previous prime is 10142021081. The next prime is 10142021107. The reversal of 10142021101 is 10112024101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10142021101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142021107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31821 + ... + 145933.

It is an arithmetic number, because the mean of its divisors is an integer number (679206528).

Almost surely, 210142021101 is an apocalyptic number.

It is an amenable number.

10142021101 is a deficient number, since it is larger than the sum of its proper divisors (725283347).

10142021101 is a wasteful number, since it uses less digits than its factorization.

10142021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114252.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10142021101 its reverse (10112024101), we get a palindrome (20254045202).

The spelling of 10142021101 in words is "ten billion, one hundred forty-two million, twenty-one thousand, one hundred one".

Divisors: 1 31 47 61 1457 1891 2867 88877 114113 3537503 5363311 6960893 166262641 215787683 327161971 10142021101