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10032023001 = 3711213833659
BaseRepresentation
bin10010101011111010…
…01000010111011001
3221220011000120102110
421111331020113121
5131021144214001
64335245022533
7503413534320
oct112575102731
927804016373
1010032023001
1142888a7400
121b3b854a49
13c3b5201b0
146b24db0b7
153daad63d6
hex255f485d9

10032023001 has 96 divisors (see below), whose sum is σ = 18318504960. Its totient is φ = 4751303040.

The previous prime is 10032022997. The next prime is 10032023021.

It is a happy number.

10032023001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10032023001 - 22 = 10032022997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032023021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2739910 + ... + 2743568.

It is an arithmetic number, because the mean of its divisors is an integer number (190817760).

Almost surely, 210032023001 is an apocalyptic number.

10032023001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032023001 is a deficient number, since it is larger than the sum of its proper divisors (8286481959).

10032023001 is a wasteful number, since it uses less digits than its factorization.

10032023001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 100320 and 23001, that added together give a palindrome (123321).

The spelling of 10032023001 in words is "ten billion, thirty-two million, twenty-three thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 83 91 121 143 231 249 273 363 429 581 847 913 1001 1079 1573 1743 2541 2739 3003 3237 3659 4719 6391 7553 10043 10977 11011 11869 19173 22659 25613 30129 33033 35607 40249 47567 70301 76839 83083 120747 130559 142701 210903 249249 281743 303697 332969 391677 442739 523237 845229 911091 913913 998907 1328217 1569711 2125879 2741739 3099173 3340667 3662659 3948061 5755607 6377637 9297519 10022001 10987977 11844183 17266821 23384669 27636427 36747337 40289249 43428671 70154007 82909281 110242011 120867747 130286013 257231359 304000697 477715381 771694077 912002091 1433146143 3344007667 10032023001