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112202101000 = 23531112917901
BaseRepresentation
bin110100001111111000…
…1000011000100001000
3101201121120001022001101
41220133301003010020
53314242214213000
6123313412231144
711051321056663
oct1503761030410
9351546038041
10112202101000
11436481851a0
12198b430b4b4
13a7717b5952
14560584a6da
152dba5cbe6a
hex1a1fc43108

112202101000 has 128 divisors (see below), whose sum is σ = 286679502720. Its totient is φ = 40764000000.

The previous prime is 112202100977. The next prime is 112202101001. The reversal of 112202101000 is 101202211.

It is a super-2 number, since 2×1122021010002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112202101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14197050 + ... + 14204950.

It is an arithmetic number, because the mean of its divisors is an integer number (2239683615).

Almost surely, 2112202101000 is an apocalyptic number.

112202101000 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 112202101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143339751360).

112202101000 is an abundant number, since it is smaller than the sum of its proper divisors (174477401720).

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

112202101000 is a wasteful number, since it uses less digits than its factorization.

112202101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112202101000 its reverse (101202211), we get a palindrome (112303303211).

The spelling of 112202101000 in words is "one hundred twelve billion, two hundred two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1291 1375 2200 2582 2750 5164 5500 6455 7901 10328 11000 12910 14201 15802 25820 28402 31604 32275 39505 51640 56804 63208 64550 71005 79010 86911 113608 129100 142010 158020 161375 173822 197525 258200 284020 316040 322750 347644 355025 395050 434555 568040 645500 695288 710050 790100 869110 987625 1291000 1420100 1580200 1738220 1775125 1975250 2172775 2840200 3476440 3550250 3950500 4345550 7100500 7901000 8691100 10200191 10863875 14201000 17382200 20400382 21727750 40800764 43455500 51000955 81601528 86911000 102001910 112202101 204003820 224404202 255004775 408007640 448808404 510009550 561010505 897616808 1020019100 1122021010 1275023875 2040038200 2244042020 2550047750 2805052525 4488084040 5100095500 5610105050 10200191000 11220210100 14025262625 22440420200 28050525250 56101050500 112202101000