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10021311120 = 2435143929017
BaseRepresentation
bin10010101010101000…
…10001001010010000
3221212101212100111010
421111110101022100
5131010423423440
64334223250520
7503223511332
oct112524211220
927771770433
1010021311120
114282850407
121b38149a40
13c3923c5c2
146b0d0d452
153d9bbc580
hex255511290

10021311120 has 80 divisors (see below), whose sum is σ = 31088724480. Its totient is φ = 2670400512.

The previous prime is 10021311119. The next prime is 10021311133. The reversal of 10021311120 is 2111312001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10021311096 and 10021311105.

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, 330852 + ... + 359868.

It is an arithmetic number, because the mean of its divisors is an integer number (388609056).

Almost surely, 210021311120 is an apocalyptic number.

10021311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021311120 is an abundant number, since it is smaller than the sum of its proper divisors (21067413360).

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

10021311120 is a wasteful number, since it uses less digits than its factorization.

10021311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30472 (or 30466 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10021311120 its reverse (2111312001), we get a palindrome (12132623121).

The spelling of 10021311120 in words is "ten billion, twenty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1439 2878 4317 5756 7195 8634 11512 14390 17268 21585 23024 28780 29017 34536 43170 57560 58034 69072 86340 87051 115120 116068 145085 172680 174102 232136 290170 345360 348204 435255 464272 580340 696408 870510 1160680 1392816 1741020 2321360 3482040 6964080 41755463 83510926 125266389 167021852 208777315 250532778 334043704 417554630 501065556 626331945 668087408 835109260 1002131112 1252663890 1670218520 2004262224 2505327780 3340437040 5010655560 10021311120