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101480112 = 243231127179
BaseRepresentation
bin1100000110001…
…11011010110000
321001221201112200
412003013122300
5201434330422
614023023200
72341365246
oct603073260
9231851480
10101480112
1152312568
1229b9ab00
1318041406
14d698796
158d982ac
hex60c76b0

101480112 has 120 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 32296320.

The previous prime is 101480101. The next prime is 101480131. The reversal of 101480112 is 211084101.

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

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, 566839 + ... + 567017.

It is an arithmetic number, because the mean of its divisors is an integer number (2476032).

Almost surely, 2101480112 is an apocalyptic number.

101480112 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 101480112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

101480112 is an abundant number, since it is smaller than the sum of its proper divisors (195643728).

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

101480112 is a wasteful number, since it uses less digits than its factorization.

101480112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101480112 is about 10073.7337665833. The cubic root of 101480112 is about 466.4377008303.

The spelling of 101480112 in words is "one hundred one million, four hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 127 144 179 186 248 254 279 358 372 381 496 508 537 558 716 744 762 1016 1074 1116 1143 1432 1488 1524 1611 2032 2148 2232 2286 2864 3048 3222 3937 4296 4464 4572 5549 6096 6444 7874 8592 9144 11098 11811 12888 15748 16647 18288 22196 22733 23622 25776 31496 33294 35433 44392 45466 47244 49941 62992 66588 68199 70866 88784 90932 94488 99882 133176 136398 141732 181864 188976 199764 204597 266352 272796 283464 363728 399528 409194 545592 566928 704723 799056 818388 1091184 1409446 1636776 2114169 2818892 3273552 4228338 5637784 6342507 8456676 11275568 12685014 16913352 25370028 33826704 50740056 101480112