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112231022000 = 2453414213251
BaseRepresentation
bin110100010000101111…
…1010111110110110000
3101201200120110122012112
41220201133113312300
53314322120201000
6123320324144452
711052121642526
oct1504137276660
9351616418175
10112231022000
1143662538a49
1219901b38128
13a7777a0776
145609618316
152dbcde1235
hex1a217d7db0

112231022000 has 160 divisors (see below), whose sum is σ = 278739534528. Its totient is φ = 43680000000.

The previous prime is 112231021999. The next prime is 112231022023. The reversal of 112231022000 is 220132211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34520375 + ... + 34523625.

Almost surely, 2112231022000 is an apocalyptic number.

112231022000 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 112231022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139369767264).

112231022000 is an abundant number, since it is smaller than the sum of its proper divisors (166508512528).

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

112231022000 is a wasteful number, since it uses less digits than its factorization.

112231022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 112231022000 its reverse (220132211), we get a palindrome (112451154211).

The spelling of 112231022000 in words is "one hundred twelve billion, two hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 421 500 656 820 842 1000 1025 1640 1684 2000 2050 2105 3251 3280 3368 4100 4210 5125 6502 6736 8200 8420 10250 10525 13004 16255 16400 16840 17261 20500 21050 26008 32510 33680 34522 41000 42100 52016 52625 65020 69044 81275 82000 84200 86305 105250 130040 133291 138088 162550 168400 172610 210500 260080 266582 276176 325100 345220 406375 421000 431525 533164 650200 666455 690440 812750 842000 863050 1066328 1300400 1332910 1368671 1380880 1625500 1726100 2132656 2157625 2665820 2737342 3251000 3332275 3452200 4315250 5331640 5474684 6502000 6664550 6843355 6904400 8630500 10663280 10949368 13329100 13686710 16661375 17261000 21898736 26658200 27373420 33322750 34216775 34522000 53316400 54746840 56115511 66645500 68433550 109493680 112231022 133291000 136867100 171083875 224462044 266582000 273734200 280577555 342167750 448924088 547468400 561155110 684335500 897848176 1122310220 1368671000 1402887775 2244620440 2737342000 2805775550 4489240880 5611551100 7014438875 11223102200 14028877750 22446204400 28057755500 56115511000 112231022000