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212113311300 = 2232521121425587
BaseRepresentation
bin1100010110001011110…
…0000100011001000100
3202021111112121122201200
43011202330010121010
511433402001430200
6241235444222500
721216236253252
oct3054274043104
9667445548650
10212113311300
1181a58486280
123513839aa30
1317004aa82b7
14a3a2b975d2
1557b6b28800
hex3162f04644

212113311300 has 108 divisors (see below), whose sum is σ = 725299004976. Its totient is φ = 51421406400.

The previous prime is 212113311299. The next prime is 212113311307. The reversal of 212113311300 is 3113311212.

212113311300 is a `hidden beast` number, since 21 + 2 + 11 + 331 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212113311307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10702894 + ... + 10722693.

Almost surely, 2212113311300 is an apocalyptic number.

212113311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212113311300 is an abundant number, since it is smaller than the sum of its proper divisors (513185693676).

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

212113311300 is a wasteful number, since it uses less digits than its factorization.

212113311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21425618 (or 21425608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212113311300 its reverse (3113311212), we get a palindrome (215226622512).

The spelling of 212113311300 in words is "two hundred twelve billion, one hundred thirteen million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 21425587 42851174 64276761 85702348 107127935 128553522 192830283 214255870 235681457 257107044 321383805 385660566 428511740 471362914 535639675 642767610 707044371 771321132 942725828 964151415 1071279350 1178407285 1285535220 1414088742 1606919025 1928302830 2121133113 2142558700 2356814570 2828177484 3213838050 3535221855 3856605660 4242266226 4713629140 4820757075 5892036425 6427676100 7070443710 8484532452 9641514150 10605665565 11784072850 14140887420 17676109275 19283028300 21211331130 23568145700 35352218550 42422662260 53028327825 70704437100 106056655650 212113311300