Search a number
-
+
102203203123032 = 23311894349812867
BaseRepresentation
bin10111001111010000001001…
…100111011111011101011000
3111101212112022221200120111120
4113033100021213133131120
5101343444124444414112
61001211300415525240
730345636435532404
oct2717201147373530
9441775287616446
10102203203123032
112a624153804980
12b5677b9b29820
13450494a4bc64b
141b34938d42104
15bc3817039e8c
hex5cf4099df758

102203203123032 has 64 divisors (see below), whose sum is σ = 281867873846400. Its totient is φ = 30622682576640.

The previous prime is 102203203123027. The next prime is 102203203123033. The reversal of 102203203123032 is 230321302302201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102203203122993 and 102203203123011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203203123033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174882938 + ... + 2174929929.

It is an arithmetic number, because the mean of its divisors is an integer number (4404185528850).

Almost surely, 2102203203123032 is an apocalyptic number.

102203203123032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102203203123032 is an abundant number, since it is smaller than the sum of its proper divisors (179664670723368).

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

102203203123032 is a wasteful number, since it uses less digits than its factorization.

102203203123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349812976 (or 4349812972 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102203203123032 its reverse (230321302302201), we get a palindrome (332524505425233).

The spelling of 102203203123032 in words is "one hundred two trillion, two hundred three billion, two hundred three million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3916 5874 7832 11748 23496 4349812867 8699625734 13049438601 17399251468 26098877202 34798502936 47847941537 52197754404 95695883074 104395508808 143543824611 191391766148 287087649222 382783532296 387133345163 574175298444 774266690326 1148350596888 1161400035489 1548533380652 2322800070978 3097066761304 4258466796793 4645600141956 8516933593586 9291200283912 12775400390379 17033867187172 25550800780758 34067734374344 51101601561516 102203203123032