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102354505453201 = 1719417523758969
BaseRepresentation
bin10111010001011101000011…
…111100000100111010010001
3111102101222212110201022111211
4113101131003330010322101
5101403434011344000301
61001405002145540121
730362604030240541
oct2721350374047221
9442358773638454
10102354505453201
112a682335a51a51
12b590ba4944641
134515cb0811571
141b3bdad65d321
15bc772011a051
hex5d1743f04e91

102354505453201 has 16 divisors (see below), whose sum is σ = 114079748500800. Its totient is φ = 91263121141248.

The previous prime is 102354505453169. The next prime is 102354505453217.

102354505453201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102354505453201 - 25 = 102354505453169 is a prime.

It is a super-2 number, since 2×1023545054532012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102354505453901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134480445 + ... + 135239413.

It is an arithmetic number, because the mean of its divisors is an integer number (7129984281300).

Almost surely, 2102354505453201 is an apocalyptic number.

It is an amenable number.

102354505453201 is a deficient number, since it is larger than the sum of its proper divisors (11725243047599).

102354505453201 is a wasteful number, since it uses less digits than its factorization.

102354505453201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176528.

The product of its (nonzero) digits is 360000, while the sum is 40.

It can be divided in two parts, 10235450 and 5453201, that added together give a palindrome (15688651).

The spelling of 102354505453201 in words is "one hundred two trillion, three hundred fifty-four billion, five hundred five million, four hundred fifty-three thousand, two hundred one".

Divisors: 1 17 19 323 417523 758969 7097891 7932937 12902473 14420411 134859929 245146987 316887013787 5387079234379 6020853261953 102354505453201