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1002021220020 = 2235142711703121
BaseRepresentation
bin11101001010011010001…
…11100110111010110100
310112210101120201001002210
432211031013212322310
5112404114413020040
62044153332133420
7132252006560532
oct16451507467264
93483346631083
101002021220020
11356a55946467
12142246a67270
137364ac62712
14366d8a67152
151b0e8e1b480
hexe94d1e6eb4

1002021220020 has 48 divisors (see below), whose sum is σ = 2807625780288. Its totient is φ = 267018385920.

The previous prime is 1002021220009. The next prime is 1002021220037. The reversal of 1002021220020 is 200221202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002021219978 and 1002021220005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5765941 + ... + 5937180.

It is an arithmetic number, because the mean of its divisors is an integer number (58492203756).

Almost surely, 21002021220020 is an apocalyptic number.

1002021220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002021220020 is an abundant number, since it is smaller than the sum of its proper divisors (1805604560268).

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

1002021220020 is a wasteful number, since it uses less digits than its factorization.

1002021220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704560 (or 11704558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002021220020 its reverse (200221202001), we get a palindrome (1202242422021).

The spelling of 1002021220020 in words is "one trillion, two billion, twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1427 2854 4281 5708 7135 8562 14270 17124 21405 28540 42810 85620 11703121 23406242 35109363 46812484 58515605 70218726 117031210 140437452 175546815 234062420 351093630 702187260 16700353667 33400707334 50101061001 66801414668 83501768335 100202122002 167003536670 200404244004 250505305005 334007073340 501010610010 1002021220020