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211012020120 = 233511809197599
BaseRepresentation
bin1100010010000101001…
…0111110011110011000
3202011122210100021020110
43010201102332132120
511424123034120440
6240534303524320
721150034401636
oct3044122763630
9664583307213
10211012020120
1181542869980
1234a8b5b96a0
1316b8a894a05
14a2da800356
1557500da080
hex31214be798

211012020120 has 128 divisors (see below), whose sum is σ = 691441920000. Its totient is φ = 51090938880.

The previous prime is 211012020119. The next prime is 211012020133. The reversal of 211012020120 is 21020210112.

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 = 211012020096 and 211012020105.

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, 969081 + ... + 1166679.

It is an arithmetic number, because the mean of its divisors is an integer number (5401890000).

Almost surely, 2211012020120 is an apocalyptic number.

211012020120 is a gapful number since it is divisible by the number (20) 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 211012020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345720960000).

211012020120 is an abundant number, since it is smaller than the sum of its proper divisors (480429899880).

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

211012020120 is a wasteful number, since it uses less digits than its factorization.

211012020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198433 (or 198429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211012020120 its reverse (21020210112), we get a palindrome (232032230232).

The spelling of 211012020120 in words is "two hundred eleven billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 809 1320 1618 2427 3236 4045 4854 6472 8090 8899 9708 12135 16180 17798 19416 24270 26697 32360 35596 44495 48540 53394 71192 88990 97080 106788 133485 177980 197599 213576 266970 355960 395198 533940 592797 790396 987995 1067880 1185594 1580792 1975990 2173589 2371188 2963985 3951980 4347178 4742376 5927970 6520767 7903960 8694356 10867945 11855940 13041534 17388712 21735890 23711880 26083068 32603835 43471780 52166136 65207670 86943560 130415340 159857591 260830680 319715182 479572773 639430364 799287955 959145546 1278860728 1598575910 1758433501 1918291092 2397863865 3197151820 3516867002 3836582184 4795727730 5275300503 6394303640 7033734004 8792167505 9591455460 10550601006 14067468008 17584335010 19182910920 21101202012 26376502515 35168670020 42202404024 52753005030 70337340040 105506010060 211012020120