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1002012012020 = 22517106313012131
BaseRepresentation
bin11101001010011001001…
…00011110110111110100
310112210100221101020002202
432211030210132313310
5112404110033341040
62044152402524032
7132251535400205
oct16451444366764
93483327336082
101002012012020
11356a50727348
12142243966618
137364908a4b6
14366d774b5ac
151b0e81ed015
hexe94c91edf4

1002012012020 has 96 divisors (see below), whose sum is σ = 2232860587776. Its totient is φ = 376406784000.

The previous prime is 1002012012013. The next prime is 1002012012059. The reversal of 1002012012020 is 202102102001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002012011992 and 1002012012010.

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, 470206355 + ... + 470208485.

It is an arithmetic number, because the mean of its divisors is an integer number (23258964456).

Almost surely, 21002012012020 is an apocalyptic number.

1002012012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012012020 is an abundant number, since it is smaller than the sum of its proper divisors (1230848575756).

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

1002012012020 is a wasteful number, since it uses less digits than its factorization.

1002012012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002012012020 its reverse (202102102001), we get a palindrome (1204114114021).

The spelling of 1002012012020 in words is "one trillion, two billion, twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1063 1301 2126 2131 2602 4252 4262 5204 5315 6505 8524 10630 10655 13010 18071 21260 21310 22117 26020 36142 36227 42620 44234 72284 72454 88468 90355 110585 144908 180710 181135 221170 361420 362270 442340 724540 1382963 2265253 2765926 2772431 4530506 5531852 5544862 6914815 9061012 11089724 11326265 13829630 13862155 22652530 23510371 27659260 27724310 38509301 45305060 47020742 47131327 55448620 77018602 94041484 94262654 117551855 154037204 188525308 192546505 235103710 235656635 385093010 470207420 471313270 770186020 942626540 2947094153 5894188306 11788376612 14735470765 29470941530 50100600601 58941883060 100201201202 200402402404 250503003005 501006006010 1002012012020