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3201000120 = 23355329321
BaseRepresentation
bin1011111011001011…
…0110001010111000
322021002020122200000
42332302312022320
523023424000440
61245344313000
7142216023603
oct27662661270
98232218600
103201000120
1113a297684a
12754012760
133c022bb16
142251a933a
1513b049730
hexbecb62b8

3201000120 has 96 divisors (see below), whose sum is σ = 10788588720. Its totient is φ = 853597440.

The previous prime is 3201000083. The next prime is 3201000157. The reversal of 3201000120 is 210001023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3201000083) and next prime (3201000157).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154941 + ... + 174380.

Almost surely, 23201000120 is an apocalyptic number.

3201000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3201000120 is an abundant number, since it is smaller than the sum of its proper divisors (7587588600).

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

3201000120 is a wasteful number, since it uses less digits than its factorization.

3201000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329347 (or 329331 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3201000120 is about 56577.3816997570. The cubic root of 3201000120 is about 1473.7661031980.

Adding to 3201000120 its reverse (210001023), we get a palindrome (3411001143).

The spelling of 3201000120 in words is "three billion, two hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 329321 658642 987963 1317284 1646605 1975926 2634568 2963889 3293210 3951852 4939815 5927778 6586420 7903704 8891667 9879630 11855556 13172840 14819445 17783334 19759260 23711112 26675001 29638890 35566668 39518520 44458335 53350002 59277780 71133336 80025003 88916670 106700004 118555560 133375005 160050006 177833340 213400008 266750010 320100012 355666680 400125015 533500020 640200024 800250030 1067000040 1600500060 3201000120