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1012021112300 = 2252117571215349
BaseRepresentation
bin11101011101000010010…
…10001010110111101100
310120202012111021012110112
432232201022022313230
5113040104401043200
62052525512355152
7133054553343452
oct16564112126754
93522174235415
101012021112300
11360217597550
121441779a5ab8
1374582912b43
1436da6b9c9d2
151b4d1ca7535
hexeba128adec

1012021112300 has 72 divisors (see below), whose sum is σ = 2398896721200. Its totient is φ = 367521235200.

The previous prime is 1012021112231. The next prime is 1012021112303. The reversal of 1012021112300 is 32111202101.

It is a super-2 number, since 2×10120211123002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012021112303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225026 + ... + 1440374.

Almost surely, 21012021112300 is an apocalyptic number.

1012021112300 is a gapful number since it is divisible by the number (10) 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 1012021112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199448360600).

1012021112300 is an abundant number, since it is smaller than the sum of its proper divisors (1386875608900).

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

1012021112300 is a wasteful number, since it uses less digits than its factorization.

1012021112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216131 (or 1216124 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1012021112300 its reverse (32111202101), we get a palindrome (1044132314401).

The spelling of 1012021112300 in words is "one trillion, twelve billion, twenty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 757 1100 1514 3028 3785 7570 8327 15140 16654 18925 33308 37850 41635 75700 83270 166540 208175 416350 832700 1215349 2430698 4861396 6076745 12153490 13368839 24306980 26737678 30383725 53475356 60767450 66844195 121534900 133688390 267376780 334220975 668441950 920019193 1336883900 1840038386 3680076772 4600095965 9200191930 10120211123 18400383860 20240422246 23000479825 40480844492 46000959650 50601055615 92001919300 101202111230 202404222460 253005278075 506010556150 1012021112300