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1115317006132 = 227291543890177
BaseRepresentation
bin10000001110101110000…
…100101110111100110100
310221121211100201022002011
4100032232010232330310
5121233132123144012
62212211454054004
7143402411063050
oct20165604567464
93847740638064
101115317006132
113a000441244a
121601a54aa304
13812351c7904
143bda584ac60
151e02a5331a7
hex103ae12ef34

1115317006132 has 48 divisors (see below), whose sum is σ = 2309050517760. Its totient is φ = 461210867712.

The previous prime is 1115317006127. The next prime is 1115317006163. The reversal of 1115317006132 is 2316007135111.

It is a junction number, because it is equal to n+sod(n) for n = 1115317006094 and 1115317006103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807828 + ... + 1698004.

It is an arithmetic number, because the mean of its divisors is an integer number (48105219120).

Almost surely, 21115317006132 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 1115317006132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154525258880).

1115317006132 is an abundant number, since it is smaller than the sum of its proper divisors (1193733511628).

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

1115317006132 is a wasteful number, since it uses less digits than its factorization.

1115317006132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891760 (or 891758 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 1115317006132 in words is "one trillion, one hundred fifteen billion, three hundred seventeen million, six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1543 3086 6172 10801 21602 43204 44747 89494 178988 313229 626458 890177 1252916 1780354 3560708 6231239 12462478 24924956 25815133 51630266 103260532 180705931 361411862 722823724 1373543111 2747086222 5494172444 9614801777 19229603554 38459207108 39832750219 79665500438 159331000876 278829251533 557658503066 1115317006132