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102123162024 = 233131823179549
BaseRepresentation
bin101111100011100000…
…0111100100110101000
3100202121010202011000020
41133013000330212220
53133122012141044
6114525325440440
710243464361152
oct1370700744650
9322533664006
10102123162024
113a345954164
1217960a10120
13982664a030
144d2b019ad2
1529ca829a19
hex17c703c9a8

102123162024 has 64 divisors (see below), whose sum is σ = 275099328000. Its totient is φ = 31405099776.

The previous prime is 102123162007. The next prime is 102123162041. The reversal of 102123162024 is 420261321201.

It is an interprime number because it is at equal distance from previous prime (102123162007) and next prime (102123162041).

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 = 102123161985 and 102123162003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479002 + ... + 658550.

It is an arithmetic number, because the mean of its divisors is an integer number (4298427000).

Almost surely, 2102123162024 is an apocalyptic number.

It is an amenable number.

102123162024 is an abundant number, since it is smaller than the sum of its proper divisors (172976165976).

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

102123162024 is a wasteful number, since it uses less digits than its factorization.

102123162024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181394 (or 181390 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102123162024 its reverse (420261321201), we get a palindrome (522384483225).

The spelling of 102123162024 in words is "one hundred two billion, one hundred twenty-three million, one hundred sixty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1823 3646 5469 7292 10938 14584 21876 23699 43752 47398 71097 94796 142194 179549 189592 284388 359098 538647 568776 718196 1077294 1436392 2154588 2334137 4309176 4668274 7002411 9336548 14004822 18673096 28009644 56019288 327317827 654635654 981953481 1309271308 1963906962 2618542616 3927813924 4255131751 7855627848 8510263502 12765395253 17020527004 25530790506 34041054008 51061581012 102123162024