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10212111120 = 243547905329
BaseRepresentation
bin10011000001011000…
…00111001100010000
3222100200212222212210
421200230013030100
5131403300023440
64405200552120
7511031340501
oct114054071420
928320788783
1010212111120
11437051a262
121b90022640
13c69925203
146cc3b8ba8
153eb80aa80
hex260b07310

10212111120 has 80 divisors (see below), whose sum is σ = 32331144960. Its totient is φ = 2665285632.

The previous prime is 10212111103. The next prime is 10212111181. The reversal of 10212111120 is 2111121201.

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 = 10212111096 and 10212111105.

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, 441385 + ... + 463944.

It is an arithmetic number, because the mean of its divisors is an integer number (404139312).

Almost surely, 210212111120 is an apocalyptic number.

10212111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212111120 is an abundant number, since it is smaller than the sum of its proper divisors (22119033840).

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

10212111120 is a wasteful number, since it uses less digits than its factorization.

10212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905392 (or 905386 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212111120 its reverse (2111121201), we get a palindrome (12323232321).

The spelling of 10212111120 in words is "ten billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 905329 1810658 2715987 3621316 4526645 5431974 7242632 9053290 10863948 13579935 14485264 18106580 21727896 27159870 36213160 42550463 43455792 54319740 72426320 85100926 108639480 127651389 170201852 212752315 217278960 255302778 340403704 425504630 510605556 638256945 680807408 851009260 1021211112 1276513890 1702018520 2042422224 2553027780 3404037040 5106055560 10212111120