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20010113112 = 23311195375269
BaseRepresentation
bin10010101000101100…
…100001100001011000
31220122112120001211110
4102220230201201120
5311440042104422
613105330100320
71305604104123
oct225054414130
956575501743
1020010113112
118539207170
123a6541a6a0
131b6b808b22
14d7b7993ba
157c1ab760c
hex4a8b21858

20010113112 has 128 divisors (see below), whose sum is σ = 58529952000. Its totient is φ = 5636067840.

The previous prime is 20010113107. The next prime is 20010113117. The reversal of 20010113112 is 21131101002.

It is an interprime number because it is at equal distance from previous prime (20010113107) and next prime (20010113117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010113117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228214 + ... + 303482.

It is an arithmetic number, because the mean of its divisors is an integer number (457265250).

Almost surely, 220010113112 is an apocalyptic number.

20010113112 is a gapful number since it is divisible by the number (22) 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 20010113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29264976000).

20010113112 is an abundant number, since it is smaller than the sum of its proper divisors (38519838888).

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

20010113112 is a wasteful number, since it uses less digits than its factorization.

20010113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75361 (or 75357 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 20010113112 its reverse (21131101002), we get a palindrome (41141214114).

The spelling of 20010113112 in words is "twenty billion, ten million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 53 57 66 76 88 106 114 132 152 159 209 212 228 264 318 418 424 456 583 627 636 836 1007 1166 1254 1272 1672 1749 2014 2332 2508 3021 3498 4028 4664 5016 6042 6996 8056 11077 12084 13992 22154 24168 33231 44308 66462 75269 88616 132924 150538 225807 265848 301076 451614 602152 827959 903228 1430111 1655918 1806456 2483877 2860222 3311836 3989257 4290333 4967754 5720444 6623672 7978514 8580666 9935508 11440888 11967771 15731221 15957028 17161332 19871016 23935542 31462442 31914056 34322664 43881827 47193663 47871084 62924884 75795883 87763654 94387326 95742168 125849768 131645481 151591766 175527308 188774652 227387649 263290962 303183532 351054616 377549304 454775298 526581924 606367064 833754713 909550596 1053163848 1667509426 1819101192 2501264139 3335018852 5002528278 6670037704 10005056556 20010113112