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10112130132220 = 225191511559113041
BaseRepresentation
bin1001001100100110100111…
…1011001010100011111100
31022210201011201212011021101
42103021221323022203330
52311134120303212340
633301240510542444
72062402003630624
oct223115173124374
938721151764241
1010112130132220
113249591922a86
12117396bb07a24
13584753a6349c
1426d6031a3884
1512808e055c9a
hex93269eca8fc

10112130132220 has 96 divisors (see below), whose sum is σ = 22515795993600. Its totient is φ = 3804112512000.

The previous prime is 10112130132211. The next prime is 10112130132241. The reversal of 10112130132220 is 2223103121101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89398900 + ... + 89511940.

It is an arithmetic number, because the mean of its divisors is an integer number (234539541600).

Almost surely, 210112130132220 is an apocalyptic number.

10112130132220 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 10112130132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257897996800).

10112130132220 is an abundant number, since it is smaller than the sum of its proper divisors (12403665861380).

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

10112130132220 is a wasteful number, since it uses less digits than its factorization.

10112130132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114779 (or 114777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10112130132220 its reverse (2223103121101), we get a palindrome (12335233253321).

The spelling of 10112130132220 in words is "ten trillion, one hundred twelve billion, one hundred thirty million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 380 604 755 1510 1559 2869 3020 3118 5738 6236 7795 11476 14345 15590 28690 29621 31180 57380 59242 113041 118484 148105 226082 235409 296210 452164 470818 565205 592420 941636 1130410 1177045 2147779 2260820 2354090 4295558 4472771 4708180 8591116 8945542 10738895 17069191 17891084 21477790 22363855 34138382 42955580 44727710 68276764 85345955 89455420 170691910 176230919 324314629 341383820 352461838 648629258 704923676 881154595 1297258516 1621573145 1762309190 3243146290 3348387461 3524618380 6486292580 6696774922 13393549844 16741937305 26610868769 33483874610 53221737538 66967749220 106443475076 133054343845 266108687690 505606506611 532217375380 1011213013222 2022426026444 2528032533055 5056065066110 10112130132220