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1306110164216 = 231113100910131117
BaseRepresentation
bin10011000000011010001…
…110110111110011111000
311121212022001200221210112
4103000122032313303320
5132344403200223331
62440004013403452
7163235425134254
oct23003216676370
94555261627715
101306110164216
11463a11156a90
12191171799588
139621cc55220
1447304c73264
1523e9556e32b
hex1301a3b7cf8

1306110164216 has 128 divisors (see below), whose sum is σ = 2885371070400. Its totient is φ = 546445025280.

The previous prime is 1306110164173. The next prime is 1306110164279. The reversal of 1306110164216 is 6124610116031.

It is a super-2 number, since 2×13061101642162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1169301290 + ... + 1169302406.

Almost surely, 21306110164216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306110164216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442685535200).

1306110164216 is an abundant number, since it is smaller than the sum of its proper divisors (1579260906184).

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

1306110164216 is a wasteful number, since it uses less digits than its factorization.

1306110164216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 1306110164216 in words is "one trillion, three hundred six billion, one hundred ten million, one hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1009 1013 1117 1144 2018 2026 2234 4036 4052 4468 8072 8104 8936 11099 11143 12287 13117 13169 14521 22198 22286 24574 26234 26338 29042 44396 44572 49148 52468 52676 58084 88792 89144 98296 104936 105352 116168 144287 144859 159731 288574 289718 319462 577148 579436 638924 1022117 1127053 1131521 1154296 1158872 1277848 2044234 2254106 2263042 4088468 4508212 4526084 8176936 9016424 9052168 11243287 12397583 12446731 13287521 14651689 14709773 22486574 24795166 24893462 26575042 29303378 29419546 44973148 49590332 49786924 53150084 58606756 58839092 89946296 99180664 99573848 106300168 117213512 117678184 146162731 161168579 161807503 292325462 322337158 323615006 584650924 644674316 647230012 1141704689 1169301848 1289348632 1294460024 2283409378 4566818756 9133637512 12558751579 14842160957 25117503158 29684321914 50235006316 59368643828 100470012632 118737287656 163263770527 326527541054 653055082108 1306110164216