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13101142302306 = 2334332311242453
BaseRepresentation
bin1011111010100101100011…
…1011101101111001100010
31201101110100010120211201000
42332221120323231321202
53204122114412133211
643510325351052430
72521345343110332
oct276513073557142
951343303524630
1013101142302306
1141a1188313493
12157710a071116
1374058103a286
14334154a770c2
1517abcdd11656
hexbea58eede62

13101142302306 has 64 divisors (see below), whose sum is σ = 29193633987840. Its totient is φ = 4355058597120.

The previous prime is 13101142302187. The next prime is 13101142302317. The reversal of 13101142302306 is 60320324110131.

It is a happy number.

13101142302306 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 1 + 423 + 0 + 230 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13101142302306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53914576 + ... + 54157028.

It is an arithmetic number, because the mean of its divisors is an integer number (456150531060).

Almost surely, 213101142302306 is an apocalyptic number.

13101142302306 is an abundant number, since it is smaller than the sum of its proper divisors (16092491685534).

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

13101142302306 is a wasteful number, since it uses less digits than its factorization.

13101142302306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245208 (or 245202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13101142302306 its reverse (60320324110131), we get a palindrome (73421466412437).

The spelling of 13101142302306 in words is "thirteen trillion, one hundred one billion, one hundred forty-two million, three hundred two thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 433 866 1299 2311 2598 3897 4622 6933 7794 11691 13866 20799 23382 41598 62397 124794 242453 484906 727359 1000663 1454718 2001326 2182077 3001989 4364154 6003978 6546231 9005967 13092462 18011934 27017901 54035802 104982149 209964298 314946447 560308883 629892894 944839341 1120617766 1680926649 1889678682 2834518023 3361853298 5042779947 5669036046 10085559894 15128339841 30256679682 242613746339 485227492678 727841239017 1455682478034 2183523717051 4367047434102 6550571151153 13101142302306