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102334201024 = 2611236439829
BaseRepresentation
bin101111101001110010…
…1111111110011000000
3100210010211212001002111
41133103211333303000
53134040023413044
6115002305025104
710251636233206
oct1372345776300
9323124761074
10102334201024
113a443a96960
12179bb625194
13985b29aa93
144d4b073076
1529de114b34
hex17d397fcc0

102334201024 has 112 divisors (see below), whose sum is σ = 231545099520. Its totient is φ = 44419415040.

The previous prime is 102334201003. The next prime is 102334201031. The reversal of 102334201024 is 420102433201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102334200986 and 102334201004.

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, 10406542 + ... + 10416370.

It is an arithmetic number, because the mean of its divisors is an integer number (2067366960).

Almost surely, 2102334201024 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 102334201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115772549760).

102334201024 is an abundant number, since it is smaller than the sum of its proper divisors (129210898496).

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

102334201024 is a wasteful number, since it uses less digits than its factorization.

102334201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10518 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102334201024 its reverse (420102433201), we get a palindrome (522436634225).

The spelling of 102334201024 in words is "one hundred two billion, three hundred thirty-four million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 643 704 736 1012 1286 1472 2024 2572 4048 5144 7073 8096 9829 10288 14146 14789 16192 19658 20576 28292 29578 39316 41152 56584 59156 78632 108119 113168 118312 157264 162679 216238 226067 226336 236624 314528 325358 432476 452134 452672 473248 629056 650716 864952 904268 946496 1301432 1729904 1808536 2486737 2602864 3459808 3617072 4973474 5205728 6320047 6919616 7234144 9946948 10411456 12640094 14468288 19893896 25280188 39787792 50560376 69520517 79575584 101120752 139041034 145361081 159151168 202241504 278082068 290722162 404483008 556164136 581444324 1112328272 1162888648 1598971891 2224656544 2325777296 3197943782 4449313088 4651554592 6395887564 9303109184 12791775128 25583550256 51167100512 102334201024