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1070820157220 = 22511231511401487
BaseRepresentation
bin11111001010100011101…
…10101110011100100100
310210100222022001011112222
433211101312232130210
5120021014430012340
62135532240131512
7140235631104422
oct17452166563444
93710868034488
101070820157220
11383150076250
12153647606b98
1379c93602c08
1439b83d54112
151ccc3d818b5
hexf951dae724

1070820157220 has 96 divisors (see below), whose sum is σ = 2576764624896. Its totient is φ = 369992304000.

The previous prime is 1070820157213. The next prime is 1070820157223. The reversal of 1070820157220 is 227510280701.

It is a super-2 number, since 2×10708201572202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070820157223) 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, 63317 + ... + 1464803.

It is an arithmetic number, because the mean of its divisors is an integer number (26841298176).

Almost surely, 21070820157220 is an apocalyptic number.

1070820157220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070820157220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288382312448).

1070820157220 is an abundant number, since it is smaller than the sum of its proper divisors (1505944467676).

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

1070820157220 is a wasteful number, since it uses less digits than its factorization.

1070820157220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401681 (or 1401679 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 1070820157220 in words is "one trillion, seventy billion, eight hundred twenty million, one hundred fifty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 151 220 230 253 302 460 506 604 755 1012 1265 1510 1661 2530 3020 3322 3473 5060 6644 6946 8305 13892 16610 17365 33220 34730 38203 69460 76406 152812 191015 382030 764060 1401487 2802974 5605948 7007435 14014870 15416357 28029740 30832714 32234201 61665428 64468402 77081785 128936804 154163570 161171005 211624537 308327140 322342010 354576211 423249074 644684020 709152422 846498148 1058122685 1418304844 1772881055 2116245370 2327869907 3545762110 4232490740 4655739814 4867364351 7091524220 9311479628 9734728702 11639349535 19469457404 23278699070 24336821755 46557398140 48673643510 53541007861 97347287020 107082015722 214164031444 267705039305 535410078610 1070820157220