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102231004440 = 233523371001087
BaseRepresentation
bin101111100110101110…
…0010101010100011000
3100202212122200002222210
41133031130111110120
53133332114120230
6114544141115120
710246244125425
oct1371534252430
9322778602883
10102231004440
113a3a0811824
1217990b58aa0
139842aa8306
144d3b48cd4c
1529d502ceb0
hex17cd715518

102231004440 has 128 divisors (see below), whose sum is σ = 328677212160. Its totient is φ = 25371523584.

The previous prime is 102231004433. The next prime is 102231004511. The reversal of 102231004440 is 44400132201.

It is a super-2 number, since 2×1022310044402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398424 + ... + 602663.

It is an arithmetic number, because the mean of its divisors is an integer number (2567790720).

Almost surely, 2102231004440 is an apocalyptic number.

102231004440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102231004440 is an abundant number, since it is smaller than the sum of its proper divisors (226446207720).

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

102231004440 is a wasteful number, since it uses less digits than its factorization.

102231004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001161 (or 1001157 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102231004440 its reverse (44400132201), we get a palindrome (146631136641).

The spelling of 102231004440 in words is "one hundred two billion, two hundred thirty-one million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 25530 34040 51060 102120 1001087 2002174 3003261 4004348 5005435 6006522 8008696 10010870 12013044 15016305 20021740 23025001 24026088 30032610 37040219 40043480 46050002 60065220 69075003 74080438 92100004 111120657 115125005 120130440 138150006 148160876 184200008 185201095 222241314 230250010 276300012 296321752 345375015 370402190 444482628 460500020 552600024 555603285 690750030 740804380 851925037 888965256 921000040 1111206570 1381500060 1481608760 1703850074 2222413140 2555775111 2763000120 3407700148 4259625185 4444826280 5111550222 6815400296 8519250370 10223100444 12778875555 17038500740 20446200888 25557751110 34077001480 51115502220 102231004440