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20431233213402 = 23113128613490367
BaseRepresentation
bin1001010010101000001000…
…11001011110001111011010
32200100012120202211111210010
410221110010121132033122
510134221131200312102
6111241551242302350
74206052001611044
oct451240431361732
980305522744703
1020431233213402
1165679235649a0
12235b8627b79b6
13b5287063a12b
14508c3c562a94
152566e37a4d6c
hex12950465e3da

20431233213402 has 64 divisors (see below), whose sum is σ = 46031308259328. Its totient is φ = 5989468056000.

The previous prime is 20431233213401. The next prime is 20431233213403.

It is a happy number.

20431233213402 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20431233213401) and next prime (20431233213403).

It is a self number, because there is not a number n which added to its sum of digits gives 20431233213402.

It is not an unprimeable number, because it can be changed into a prime (20431233213401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4108423 + ... + 7598789.

It is an arithmetic number, because the mean of its divisors is an integer number (719239191552).

Almost surely, 220431233213402 is an apocalyptic number.

20431233213402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20431233213402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015654129664).

20431233213402 is an abundant number, since it is smaller than the sum of its proper divisors (25600075045926).

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

20431233213402 is a wasteful number, since it uses less digits than its factorization.

20431233213402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493275.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2043123 and 3213402, that added together give a palindrome (5256525).

The spelling of 20431233213402 in words is "twenty trillion, four hundred thirty-one billion, two hundred thirty-three million, two hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 2861 5722 8583 17166 31471 62942 88691 94413 177382 188826 266073 532146 975601 1951202 2926803 3490367 5853606 6980734 10471101 20942202 38394037 76788074 108201377 115182111 216402754 230364222 324604131 649208262 1190215147 2380430294 3570645441 7141290882 9985939987 19971879974 29957819961 59915639922 109845339857 219690679714 309564139597 329536019571 619128279194 659072039142 928692418791 1857384837582 3405205535567 6810411071134 10215616606701 20431233213402