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102150325044 = 2235252141687
BaseRepresentation
bin101111100100010100…
…0100100001100110100
3100202200000212011200000
41133020220210030310
53133200440400134
6114532135551300
710244244302505
oct1371050441464
9322600764600
10102150325044
113a35a217139
1217969b2b530
13982c16a921
144d3088abac
1529ccde2e99
hex17c8a24334

102150325044 has 72 divisors (see below), whose sum is σ = 267889422528. Its totient is φ = 34035785280.

The previous prime is 102150325021. The next prime is 102150325061. The reversal of 102150325044 is 440523051201.

102150325044 is a `hidden beast` number, since 1 + 0 + 2 + 150 + 3 + 2 + 504 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102150324999 and 102150325017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429569 + ... + 2471255.

It is an arithmetic number, because the mean of its divisors is an integer number (3720686424).

Almost surely, 2102150325044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102150325044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133944711264).

102150325044 is an abundant number, since it is smaller than the sum of its proper divisors (165739097484).

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

102150325044 is a wasteful number, since it uses less digits than its factorization.

102150325044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44227 (or 44213 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 102150325044 its reverse (440523051201), we get a palindrome (542673376245).

The spelling of 102150325044 in words is "one hundred two billion, one hundred fifty million, three hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2521 5042 7563 10084 15126 22689 30252 41687 45378 68067 83374 90756 125061 136134 166748 204201 250122 272268 375183 408402 500244 612603 750366 816804 1125549 1225206 1500732 2251098 2450412 3376647 4502196 6753294 10129941 13506588 20259882 40519764 105092927 210185854 315278781 420371708 630557562 945836343 1261115124 1891672686 2837509029 3783345372 5675018058 8512527087 11350036116 17025054174 25537581261 34050108348 51075162522 102150325044