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103411310024001 = 372192313693117563
BaseRepresentation
bin10111100000110101010010…
…011001100101010101000001
3111120011000122222221220221110
4113200311102121211111001
5102023242330331232001
61003534255555313533
730532135444002300
oct2740652231452501
9446130588856843
10103411310024001
112aa4a543643721
12b72197a5ab8a9
13459184c509075
141b771c4000437
15be4e737da3d6
hex5e0d52665541

103411310024001 has 96 divisors (see below), whose sum is σ = 176189799767040. Its totient is φ = 53543693782656.

The previous prime is 103411310023999. The next prime is 103411310024021. The reversal of 103411310024001 is 100420013114301.

It is not a de Polignac number, because 103411310024001 - 21 = 103411310023999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103411310024021) 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, 879565846 + ... + 879683408.

It is an arithmetic number, because the mean of its divisors is an integer number (1835310414240).

Almost surely, 2103411310024001 is an apocalyptic number.

It is an amenable number.

103411310024001 is a deficient number, since it is larger than the sum of its proper divisors (72778489743039).

103411310024001 is a wasteful number, since it uses less digits than its factorization.

103411310024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131315 (or 131308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 103411310024001 its reverse (100420013114301), we get a palindrome (203831323138302).

The spelling of 103411310024001 in words is "one hundred three trillion, four hundred eleven billion, three hundred ten million, twenty-four thousand, one".

Divisors: 1 3 7 19 21 23 49 57 69 133 147 161 399 437 483 931 1127 1311 2793 3059 3381 9177 13693 21413 41079 64239 95851 117563 260167 287553 314939 352689 670957 780501 822941 944817 1821169 2012871 2204573 2233697 2468823 2703949 5463507 5760587 5983841 6613719 6701091 8111847 12748183 15432011 15635879 17281761 17951523 18927643 38244549 41886887 46296033 46907637 51375031 56782929 109451153 125660661 132493501 154125093 293208209 328353459 359625217 397480503 879624627 1078875651 1609790159 2517376519 4829370477 7552129557 11268531113 30586013021 33805593339 37025173657 78879717791 91758039063 111075520971 214102091147 236639153373 259176215599 642306273441 703478299483 777528646797 1498714638029 1814233509193 2110434898449 4496143914087 4924348096381 5442700527579 14773044289143 34470436674667 103411310024001