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919220110112 = 252367142713063
BaseRepresentation
bin11010110000001011100…
…10011100001100100000
310020212200000210211200102
431120011302130030200
5110030030322010422
61542141153041532
7123261063005663
oct15300562341440
93225600724612
10919220110112
11324925874017
1212a198b562a8
13688b3702425
14326c1c996da
1518d9ea94192
hexd605c9c320

919220110112 has 96 divisors (see below), whose sum is σ = 1918072783872. Its totient is φ = 432728803584.

The previous prime is 919220110099. The next prime is 919220110129. The reversal of 919220110112 is 211011022919.

It is a super-2 number, since 2×9192201101122 (a number of 25 digits) contains 22 as substring.

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, 70361693 + ... + 70374755.

It is an arithmetic number, because the mean of its divisors is an integer number (19979924832).

Almost surely, 2919220110112 is an apocalyptic number.

919220110112 is a gapful number since it is divisible by the number (92) 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 919220110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959036391936).

919220110112 is an abundant number, since it is smaller than the sum of its proper divisors (998852673760).

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

919220110112 is a wasteful number, since it uses less digits than its factorization.

919220110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14590 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 919220110112 in words is "nine hundred nineteen billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 1072 1427 1541 2144 2854 3082 5708 6164 11416 12328 13063 22832 24656 26126 32821 45664 49312 52252 65642 95609 104504 131284 191218 209008 262568 300449 382436 418016 525136 600898 764872 875221 1050272 1201796 1529744 1750442 2199007 2403592 3059488 3500884 4398014 4807184 7001768 8796028 9614368 14003536 17592056 18640901 20130083 28007072 35184112 37281802 40260166 70368224 74563604 80520332 149127208 161040664 298254416 322081328 428740723 596508832 644162656 857481446 1248940367 1714962892 2497880734 3429925784 4995761468 6859851568 9991522936 13719703136 19983045872 28725628441 39966091744 57451256882 114902513764 229805027528 459610055056 919220110112