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113221200132 = 2232173710914583
BaseRepresentation
bin110100101110010000…
…0100110100100000100
3101211020120122220020200
41221130200212210010
53323334111401012
6124002455130500
711115504215325
oct1513440464404
9354216586220
10113221200132
1144020463487
1219b39673a30
13a8a497c1a1
1456a0d2a44c
152e29cd23dc
hex1a5c826904

113221200132 has 144 divisors (see below), whose sum is σ = 311576533632. Its totient is φ = 34521154560.

The previous prime is 113221200121. The next prime is 113221200143. The reversal of 113221200132 is 231002122311.

113221200132 is a `hidden beast` number, since 11 + 322 + 1 + 200 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (113221200121) and next prime (113221200143).

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 47 ways as a sum of consecutive naturals, for example, 24702313 + ... + 24706895.

It is an arithmetic number, because the mean of its divisors is an integer number (2163725928).

Almost surely, 2113221200132 is an apocalyptic number.

113221200132 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 113221200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155788266816).

113221200132 is an abundant number, since it is smaller than the sum of its proper divisors (198355333500).

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

113221200132 is a wasteful number, since it uses less digits than its factorization.

113221200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113221200132 its reverse (231002122311), we get a palindrome (344223322443).

The spelling of 113221200132 in words is "one hundred thirteen billion, two hundred twenty-one million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1091 1258 1332 1887 2182 2516 3273 3774 4364 4583 5661 6546 7548 9166 9819 11322 13092 13749 18332 18547 19638 22644 27498 37094 39276 40367 41247 54996 55641 74188 77911 80734 82494 111282 121101 155822 161468 164988 166923 169571 222564 233733 242202 311644 333846 339142 363303 467466 484404 508713 667692 678284 686239 701199 726606 934932 1017426 1372478 1402398 1453212 1526139 2034852 2058717 2744956 2804796 2882707 3052278 4117434 5000053 5765414 6104556 6176151 8234868 8648121 10000106 11530828 12352302 15000159 17296242 20000212 24704604 25944363 30000318 34592484 45000477 51888726 60000636 85000901 90000954 103777452 170001802 180001908 185001961 255002703 340003604 370003922 510005406 555005883 740007844 765008109 1020010812 1110011766 1530016218 1665017649 2220023532 3060032436 3145033337 3330035298 6290066674 6660070596 9435100011 12580133348 18870200022 28305300033 37740400044 56610600066 113221200132