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10131232212 = 223217198291051
BaseRepresentation
bin10010110111101111…
…00101010111010100
3222011001200220212200
421123313211113110
5131222043412322
64353151244500
7506030024103
oct113367452724
928131626780
1010131232212
1143298a8792
121b68b19730
13c55c47a7a
146c176403a
153e46818ac
hex25bde55d4

10131232212 has 144 divisors (see below), whose sum is σ = 28604721600. Its totient is φ = 3004646400.

The previous prime is 10131232159. The next prime is 10131232213. The reversal of 10131232212 is 21223213101.

It is a super-2 number, since 2×101312322122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131232213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9639087 + ... + 9640137.

It is an arithmetic number, because the mean of its divisors is an integer number (198643900).

Almost surely, 210131232212 is an apocalyptic number.

10131232212 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 10131232212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302360800).

10131232212 is an abundant number, since it is smaller than the sum of its proper divisors (18473489388).

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

10131232212 is a wasteful number, since it uses less digits than its factorization.

10131232212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1921 counting only the distinct ones).

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

Adding to 10131232212 its reverse (21223213101), we get a palindrome (31354445313).

The spelling of 10131232212 in words is "ten billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 829 969 1051 1292 1658 1938 2102 2487 2907 3153 3316 3876 4204 4974 5814 6306 7461 9459 9948 11628 12612 14093 14922 15751 17867 18918 19969 28186 29844 31502 35734 37836 39938 42279 47253 53601 56372 59907 63004 71468 79876 84558 94506 107202 119814 126837 141759 160803 169116 179721 189012 214404 239628 253674 267767 283518 321606 339473 359442 507348 535534 567036 643212 678946 718884 803301 871279 1018419 1071068 1357892 1606602 1742558 2036838 2409903 2613837 3055257 3213204 3485116 4073676 4819806 5227674 6110514 7841511 9639612 10455348 12221028 14811743 15683022 16554301 29623486 31366044 33108602 44435229 49662903 59246972 66217204 88870458 99325806 133305687 148988709 177740916 198651612 266611374 281423117 297977418 533222748 562846234 595954836 844269351 1125692468 1688538702 2532808053 3377077404 5065616106 10131232212