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100233101022 = 231723140930323
BaseRepresentation
bin101110101011001011…
…0111011111011011110
3100120201102021002201220
41131112112323323132
53120234133213042
6114014011114210
710145604205215
oct1352626737336
9316642232656
10100233101022
1139565a7737a
1217513a42966
1395b4bb6342
144bcbdbc07c
1529199318ec
hex17565bbede

100233101022 has 64 divisors (see below), whose sum is σ = 221651458560. Its totient is φ = 30056136704.

The previous prime is 100233100993. The next prime is 100233101029. The reversal of 100233101022 is 220101332001.

It is a junction number, because it is equal to n+sod(n) for n = 100233100992 and 100233101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100233101029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3290353 + ... + 3320675.

It is an arithmetic number, because the mean of its divisors is an integer number (3463304040).

Almost surely, 2100233101022 is an apocalyptic number.

100233101022 is an abundant number, since it is smaller than the sum of its proper divisors (121418357538).

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

100233101022 is a wasteful number, since it uses less digits than its factorization.

100233101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31777.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100233101022 its reverse (220101332001), we get a palindrome (320334433023).

The spelling of 100233101022 in words is "one hundred billion, two hundred thirty-three million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 1409 2346 2818 4227 8454 23953 30323 32407 47906 60646 64814 71859 90969 97221 143718 181938 194442 515491 550919 697429 1030982 1101838 1394858 1546473 1652757 2092287 3092946 3305514 4184574 11856293 23712586 35568879 42725107 71137758 85450214 128175321 256350642 726326819 982677461 1452653638 1965354922 2178980457 2948032383 4357960914 5896064766 16705516837 33411033674 50116550511 100233101022