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20231400413202 = 23112574572609953
BaseRepresentation
bin1001001100110011111010…
…11011110101100000010010
32122122002210002011110021220
410212121331123311200102
510122432402001210302
6111010102124025510
74155445651051026
oct446317533654022
978562702143256
1020231400413202
1164a00a8113450
122328b93092296
13b39a74b5c864
144dd2c2766386
152513e9d5b4bc
hex12667d6f5812

20231400413202 has 64 divisors (see below), whose sum is σ = 44409975041664. Its totient is φ = 6093507133440.

The previous prime is 20231400413201. The next prime is 20231400413221.

It is a happy number.

20231400413202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20231400413201) 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 31 ways as a sum of consecutive naturals, for example, 6446658 + ... + 9056610.

It is an arithmetic number, because the mean of its divisors is an integer number (693905860026).

Almost surely, 220231400413202 is an apocalyptic number.

20231400413202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20231400413202 is an abundant number, since it is smaller than the sum of its proper divisors (24178574628462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20231400413202 is a wasteful number, since it uses less digits than its factorization.

20231400413202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610683.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 20231400 and 413202, that added together give a palindrome (20644602).

The spelling of 20231400413202 in words is "twenty trillion, two hundred thirty-one billion, four hundred million, four hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 257 457 514 771 914 1371 1542 2742 2827 5027 5654 8481 10054 15081 16962 30162 117449 234898 352347 704694 1291939 2583878 2609953 3875817 5219906 7751634 7829859 15659718 28709483 57418966 86128449 172256898 670757921 1192748521 1341515842 2012273763 2385497042 3578245563 4024547526 7156491126 7378337131 13120233731 14756674262 22135011393 26240467462 39360701193 44270022786 78721402386 306536369897 613072739794 919609109691 1839218219382 3371900068867 6743800137734 10115700206601 20231400413202