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102021331320 = 233251132507899
BaseRepresentation
bin101111100000011110…
…0011111100101111000
3100202100001010121112200
41133000330133211320
53132414430100240
6114511251110200
710241120002506
oct1370074374570
9322301117480
10102021331320
113a2a3422257
12179328a2360
13980b51518c
144d1b6ad676
1529c1912930
hex17c0f1f978

102021331320 has 96 divisors (see below), whose sum is σ = 334503702000. Its totient is φ = 26964919296.

The previous prime is 102021331319. The next prime is 102021331327. The reversal of 102021331320 is 23133120201.

102021331320 is a `hidden beast` number, since 10 + 2 + 0 + 2 + 1 + 331 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102021331293 and 102021331302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021331327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213270 + ... + 1294629.

Almost surely, 2102021331320 is an apocalyptic number.

102021331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021331320 is an abundant number, since it is smaller than the sum of its proper divisors (232482370680).

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

102021331320 is a wasteful number, since it uses less digits than its factorization.

102021331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508029 (or 2508022 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102021331320 its reverse (23133120201), we get a palindrome (125154451521).

The spelling of 102021331320 in words is "one hundred two billion, twenty-one million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 2507899 5015798 7523697 10031596 12539495 15047394 20063192 22571091 25078990 30094788 37618485 45142182 50157980 60189576 75236970 90284364 100315960 112855455 150473940 180568728 225710910 283392587 300947880 451421820 566785174 850177761 902843640 1133570348 1416962935 1700355522 2267140696 2550533283 2833925870 3400711044 4250888805 5101066566 5667851740 6801422088 8501777610 10202133132 11335703480 12752666415 17003555220 20404266264 25505332830 34007110440 51010665660 102021331320