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220010101032 = 233292101107923
BaseRepresentation
bin1100110011100110011…
…1111011100100101000
3210000212212211010202110
43030321213323210220
512101040041213112
6245023220002320
721616025000661
oct3147147734450
9700785733673
10220010101032
118533aa6a287
1236780b303a0
1317992b22647
14a911876368
155aca03813c
hex33399fb928

220010101032 has 96 divisors (see below), whose sum is σ = 575291040480. Its totient is φ = 70106131200.

The previous prime is 220010100979. The next prime is 220010101063. The reversal of 220010101032 is 230101010022.

220010101032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2200101010322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220010100999 and 220010101017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1984623 + ... + 2092545.

It is an arithmetic number, because the mean of its divisors is an integer number (5992615005).

Almost surely, 2220010101032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220010101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287645520240).

220010101032 is an abundant number, since it is smaller than the sum of its proper divisors (355280939448).

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

220010101032 is a wasteful number, since it uses less digits than its factorization.

220010101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108091 (or 108058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 220010101032 its reverse (230101010022), we get a palindrome (450111111054).

The spelling of 220010101032 in words is "two hundred twenty billion, ten million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 303 348 404 606 696 808 841 1212 1682 2424 2523 2929 3364 5046 5858 6728 8787 10092 11716 17574 20184 23432 35148 70296 84941 107923 169882 215846 254823 323769 339764 431692 509646 647538 679528 863384 1019292 1295076 2038584 2590152 3129767 6259534 9389301 10900223 12519068 18778602 21800446 25038136 32700669 37557204 43600892 65401338 75114408 87201784 90763243 130802676 181526486 261605352 272289729 316106467 363052972 544579458 632212934 726105944 948319401 1089158916 1264425868 1896638802 2178317832 2528851736 3793277604 7586555208 9167087543 18334175086 27501262629 36668350172 55002525258 73336700344 110005050516 220010101032