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102322132020 = 22325292675929
BaseRepresentation
bin101111101001011011…
…1111101010000110100
3100210010000010212112100
41133102313331100310
53134023431211040
6115001154222100
710251431525463
oct1372267752064
9323100125470
10102322132020
113a4381a3279
12179b7584930
139858933564
144d496109da
1529dd02db30
hex17d2dfd434

102322132020 has 108 divisors (see below), whose sum is σ = 321449326380. Its totient is φ = 26344969728.

The previous prime is 102322132007. The next prime is 102322132021. The reversal of 102322132020 is 20231223201.

102322132020 is a `hidden beast` number, since 1 + 0 + 2 + 322 + 1 + 320 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 197136 + 102321934884 = 444^2 + 319878^2 .

It is a super-2 number, since 2×1023221320202 (a number of 23 digits) contains 22 as substring.

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 = 102322131984 and 102322132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102322132021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186585 + ... + 489344.

Almost surely, 2102322132020 is an apocalyptic number.

102322132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102322132020 is an abundant number, since it is smaller than the sum of its proper divisors (219127194360).

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

102322132020 is a wasteful number, since it uses less digits than its factorization.

102322132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676002 (or 675968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102322132020 its reverse (20231223201), we get a palindrome (122553355221).

The spelling of 102322132020 in words is "one hundred two billion, three hundred twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 841 870 1044 1305 1682 1740 2523 2610 3364 4205 5046 5220 7569 8410 10092 12615 15138 16820 25230 30276 37845 50460 75690 151380 675929 1351858 2027787 2703716 3379645 4055574 6083361 6759290 8111148 10138935 12166722 13518580 19601941 20277870 24333444 30416805 39203882 40555740 58805823 60833610 78407764 98009705 117611646 121667220 176417469 196019410 235223292 294029115 352834938 392038820 568456289 588058230 705669876 882087345 1136912578 1176116460 1705368867 1764174690 2273825156 2842281445 3410737734 3528349380 5116106601 5684562890 6821475468 8526844335 10232213202 11369125780 17053688670 20464426404 25580533005 34107377340 51161066010 102322132020