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102022021000120 = 23513703732787947
BaseRepresentation
bin10111001100100111011010…
…010100100010101110111000
3111101020012200001120002110211
4113030213122110202232320
5101333012044334000440
61000552134110120504
730326563534101664
oct2714473224425670
9441205601502424
10102022021000120
112a564329167311
12b5386744b0134
1344c08349a29b0
141b29c6c14b8a4
15bbdc60b77eea
hex5cc9da522bb8

102022021000120 has 64 divisors (see below), whose sum is σ = 247210806215520. Its totient is φ = 37669120495104.

The previous prime is 102022021000087. The next prime is 102022021000121. The reversal of 102022021000120 is 21000120220201.

It is a happy number.

It is a super-3 number, since 3×1020220210001203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102022021000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022021000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35199987 + ... + 37987933.

Almost surely, 2102022021000120 is an apocalyptic number.

102022021000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022021000120 is an abundant number, since it is smaller than the sum of its proper divisors (145188785215400).

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

102022021000120 is a wasteful number, since it uses less digits than its factorization.

102022021000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858344 (or 2858340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102022021000120 its reverse (21000120220201), we get a palindrome (123022141220321).

The spelling of 102022021000120 in words is "one hundred two trillion, twenty-two billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 70373 140746 281492 351865 562984 703730 914849 1407460 1829698 2787947 2814920 3659396 4574245 5575894 7318792 9148490 11151788 13939735 18296980 22303576 27879470 36243311 36593960 55758940 72486622 111517880 144973244 181216555 289946488 362433110 724866220 1449732440 196196194231 392392388462 784784776924 980980971155 1569569553848 1961961942310 2550550525003 3923923884620 5101101050006 7847847769240 10202202100012 12752752625015 20404404200024 25505505250030 51011010500060 102022021000120