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102001012020 = 223351150316421
BaseRepresentation
bin101111011111110111…
…0111110110100110100
3100202021121220021201000
41132333232332310310
53132344224341040
6114505243403300
710240452203535
oct1367756766464
9322247807630
10102001012020
113a292a04046
1217927b23530
13980724c61b
144d18b0068c
1529bec4c130
hex17bfbbed34

102001012020 has 96 divisors (see below), whose sum is σ = 317383395840. Its totient is φ = 27196248960.

The previous prime is 102001012019. The next prime is 102001012039. The reversal of 102001012020 is 20210100201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102001011993 and 102001012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6203410 + ... + 6219830.

It is an arithmetic number, because the mean of its divisors is an integer number (3306077040).

Almost surely, 2102001012020 is an apocalyptic number.

102001012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001012020 is an abundant number, since it is smaller than the sum of its proper divisors (215382383820).

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

102001012020 is a wasteful number, since it uses less digits than its factorization.

102001012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27942 (or 27934 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102001012020 its reverse (20210100201), we get a palindrome (122211112221).

The spelling of 102001012020 in words is "one hundred two billion, one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 11503 16421 23006 32842 34509 46012 49263 57515 65684 69018 82105 98526 103527 115030 138036 147789 164210 172545 197052 207054 230060 246315 295578 310581 328420 345090 414108 443367 492630 517635 591156 621162 690180 738945 886734 985260 1035270 1242324 1477890 1552905 1773468 2070540 2216835 2955780 3105810 4433670 6211620 8867340 188890763 377781526 566672289 755563052 944453815 1133344578 1700016867 1888907630 2266689156 2833361445 3400033734 3777815260 5100050601 5666722890 6800067468 8500084335 10200101202 11333445780 17000168670 20400202404 25500253005 34000337340 51000506010 102001012020