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101220020112 = 24361308311213
BaseRepresentation
bin101111001000100101…
…1101110111110010000
3100200021012022210012210
41132101023232332100
53124244311120422
6114255544152120
710212216655311
oct1362113567620
9320235283183
10101220020112
1139a22076292
121774a468640
1397114c3533
144c830c2608
1529763cc10c
hex17912eef90

101220020112 has 80 divisors (see below), whose sum is σ = 265881607488. Its totient is φ = 33173168640.

The previous prime is 101220020107. The next prime is 101220020141. The reversal of 101220020112 is 211020022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9021418 + ... + 9032630.

Almost surely, 2101220020112 is an apocalyptic number.

101220020112 is a gapful number since it is divisible by the number (12) 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 101220020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132940803744).

101220020112 is an abundant number, since it is smaller than the sum of its proper divisors (164661587376).

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

101220020112 is a wasteful number, since it uses less digits than its factorization.

101220020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14368 (or 14362 counting only the distinct ones).

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

Adding to 101220020112 its reverse (211020022101), we get a palindrome (312240042213).

The spelling of 101220020112 in words is "one hundred one billion, two hundred twenty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 3083 6166 9249 11213 12332 18498 22426 24664 33639 36996 44852 49328 67278 73992 89704 134556 147984 179408 188063 269112 376126 538224 564189 683993 752252 1128378 1367986 1504504 2051979 2256756 2735972 3009008 4103958 4513512 5471944 8207916 9027024 10943888 16415832 32831664 34569679 69139358 103709037 138278716 207418074 276557432 414836148 553114864 829672296 1659344592 2108750419 4217500838 6326251257 8435001676 12652502514 16870003352 25305005028 33740006704 50610010056 101220020112