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1000102012020 = 22355205782307
BaseRepresentation
bin11101000110110101011…
…10011010010001110100
310112121102211101011200000
432203122232122101310
5112341202103341040
62043235052551300
7132153313561116
oct16433256322164
93477384334600
101000102012020
11356160571051
121419b0182530
1373403465097
1436595bdd3b6
151b0356b7130
hexe8dab9a474

1000102012020 has 72 divisors (see below), whose sum is σ = 3145999924704. Its totient is φ = 266693868576.

The previous prime is 1000102012009. The next prime is 1000102012043. The reversal of 1000102012020 is 202102010001.

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 = 1000102011993 and 1000102012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102886294 + ... + 102896013.

Almost surely, 21000102012020 is an apocalyptic number.

1000102012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000102012020 is an abundant number, since it is smaller than the sum of its proper divisors (2145897912684).

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

1000102012020 is a wasteful number, since it uses less digits than its factorization.

1000102012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205782331 (or 205782317 counting only the distinct ones).

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

Adding to 1000102012020 its reverse (202102010001), we get a palindrome (1202204022021).

The spelling of 1000102012020 in words is "one trillion, one hundred two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 205782307 411564614 617346921 823129228 1028911535 1234693842 1852040763 2057823070 2469387684 3086734605 3704081526 4115646140 5556122289 6173469210 7408163052 9260203815 11112244578 12346938420 16668366867 18520407630 22224489156 27780611445 33336733734 37040815260 50005100601 55561222890 66673467468 83341834335 100010201202 111122445780 166683668670 200020402404 250025503005 333367337340 500051006010 1000102012020