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113422252032 = 2113214941299
BaseRepresentation
bin110100110100001111…
…1100011100000000000
3101211202120222101121100
41221220133203200000
53324242044031112
6124034440254400
711123465143425
oct1515037434000
9354676871540
10113422252032
11441139a4781
1219b94a71400
13a9075141cb
1456bd903d4c
152e3c7982dc
hex1a687e3800

113422252032 has 144 divisors (see below), whose sum is σ = 329790825000. Its totient is φ = 37552766976.

The previous prime is 113422252001. The next prime is 113422252037. The reversal of 113422252032 is 230252224311.

113422252032 is a `hidden beast` number, since 1 + 13 + 422 + 25 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 113422251987 and 113422252005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113422252037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2725719 + ... + 2767017.

Almost surely, 2113422252032 is an apocalyptic number.

113422252032 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 113422252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164895412500).

113422252032 is an abundant number, since it is smaller than the sum of its proper divisors (216368572968).

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

113422252032 is a wasteful number, since it uses less digits than its factorization.

113422252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41476 (or 41453 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 113422252032 its reverse (230252224311), we get a palindrome (343674476343).

The spelling of 113422252032 in words is "one hundred thirteen billion, four hundred twenty-two million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 256 288 298 384 447 512 576 596 768 894 1024 1152 1192 1341 1536 1788 2048 2304 2384 2682 3072 3576 4608 4768 5364 6144 7152 9216 9536 10728 14304 18432 19072 21456 28608 38144 41299 42912 57216 76288 82598 85824 114432 123897 152576 165196 171648 228864 247794 305152 330392 343296 371691 457728 495588 660784 686592 743382 915456 991176 1321568 1373184 1486764 1982352 2643136 2746368 2973528 3964704 5286272 5947056 6153551 7929408 10572544 11894112 12307102 15858816 18460653 21145088 23788224 24614204 31717632 36921306 42290176 47576448 49228408 55381959 63435264 73842612 84580352 95152896 98456816 110763918 126870528 147685224 190305792 196913632 221527836 253741056 295370448 380611584 393827264 443055672 590740896 761223168 787654528 886111344 1181481792 1575309056 1772222688 2362963584 3150618112 3544445376 4725927168 6301236224 7088890752 9451854336 12602472448 14177781504 18903708672 28355563008 37807417344 56711126016 113422252032