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10142002002002 = 2137365376110753
BaseRepresentation
bin1001001110010101111001…
…1011010011100001010010
31022220120021120001101000212
42103211132123103201102
52312131310003031002
633323101004444122
72064510156424163
oct223453633234122
938816246041025
1010142002002002
113260220801972
121179707b49642
13587504715b90
14270c385b776a
15128c3b7c0352
hex9395e6d3852

10142002002002 has 64 divisors (see below), whose sum is σ = 16656500490336. Its totient is φ = 4603246018560.

The previous prime is 10142002001981. The next prime is 10142002002059. The reversal of 10142002002002 is 20020020024101.

10142002002002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 10201 + 10142001991801 = 101^2 + 3184651^2 .

It is a super-2 number, since 2×101420020020022 (a number of 27 digits) contains 22 as substring.

10142002002002 is a modest number, since divided by 2002002 gives 10142 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943173458 + ... + 943184210.

Almost surely, 210142002002002 is an apocalyptic number.

10142002002002 is a deficient number, since it is larger than the sum of its proper divisors (6514498488334).

10142002002002 is a wasteful number, since it uses less digits than its factorization.

10142002002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10142002002002 its reverse (20020020024101), we get a palindrome (30162022026103).

The spelling of 10142002002002 in words is "ten trillion, one hundred forty-two billion, two million, two thousand, two".

Divisors: 1 2 13 26 73 146 653 761 949 1306 1522 1898 8489 9893 10753 16978 19786 21506 47669 55553 95338 111106 139789 279578 496933 619697 722189 784969 993866 1239394 1444378 1569938 6460129 7021709 8183033 10204597 12920258 14043418 16366066 20409194 36276109 72552218 91282217 106379429 182564434 212758858 471589417 512584757 597361409 943178834 1025169514 1194722818 5343520549 6663601841 7765698317 10687041098 13327203682 15531396634 69465767137 138931534274 390077000077 780154000154 5071001001001 10142002002002