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211310031120 = 24351312167103
BaseRepresentation
bin1100010011001100001…
…1110011000100010000
3202012102120002210110220
43010303003303010100
511430230331443440
6241024031153040
721160313425446
oct3046303630420
9665376083426
10211310031120
1181686004a61
1234b53375780
1316c07547396
14a328216b96
15576b3548d0
hex31330f3110

211310031120 has 80 divisors (see below), whose sum is σ = 655120783872. Its totient is φ = 56344207360.

The previous prime is 211310031103. The next prime is 211310031137. The reversal of 211310031120 is 21130013112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211310031103) and next prime (211310031137).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211310031120.

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, 3115489 + ... + 3182591.

Almost surely, 2211310031120 is an apocalyptic number.

211310031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211310031120 is an abundant number, since it is smaller than the sum of its proper divisors (443810752752).

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

211310031120 is a wasteful number, since it uses less digits than its factorization.

211310031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80240 (or 80234 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211310031120 its reverse (21130013112), we get a palindrome (232440044232).

The spelling of 211310031120 in words is "two hundred eleven billion, three hundred ten million, thirty-one 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 13121 26242 39363 52484 65605 67103 78726 104968 131210 134206 157452 196815 201309 209936 262420 268412 314904 335515 393630 402618 524840 536824 629808 671030 787260 805236 1006545 1049680 1073648 1342060 1574520 1610472 2013090 2684120 3149040 3220944 4026180 5368240 8052360 16104720 880458463 1760916926 2641375389 3521833852 4402292315 5282750778 7043667704 8804584630 10565501556 13206876945 14087335408 17609169260 21131003112 26413753890 35218338520 42262006224 52827507780 70436677040 105655015560 211310031120