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20021002002 = 2324147212281
BaseRepresentation
bin10010101001010110…
…000011111100010010
31220200022001021120200
4102221112003330102
5312000334031002
613110355320030
71306065465141
oct225126037422
956608037520
1020021002002
118544374151
123a68bb0016
131b70b4c161
14d7cdd1758
157c2a18b1c
hex4a9583f12

20021002002 has 72 divisors (see below), whose sum is σ = 45406136412. Its totient is φ = 6371846400.

The previous prime is 20021001997. The next prime is 20021002019. The reversal of 20021002002 is 20020012002.

It can be written as a sum of positive squares in 2 ways, for example, as 19920781881 + 100220121 = 141141^2 + 10011^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1624102 + ... + 1636382.

Almost surely, 220021002002 is an apocalyptic number.

20021002002 is an abundant number, since it is smaller than the sum of its proper divisors (25385134410).

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

20021002002 is a wasteful number, since it uses less digits than its factorization.

20021002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 12374 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20021002002 its reverse (20020012002), we get a palindrome (40041014004).

It can be divided in two parts, 2002 and 1002002, that added together give a square (1004004 = 10022).

The spelling of 20021002002 in words is "twenty billion, twenty-one million, two thousand, two".

Divisors: 1 2 3 6 9 18 41 47 82 94 123 141 246 282 369 423 738 846 1927 2209 3854 4418 5781 6627 11562 12281 13254 17343 19881 24562 34686 36843 39762 73686 90569 110529 181138 221058 271707 503521 543414 577207 815121 1007042 1154414 1510563 1630242 1731621 3021126 3463242 4531689 5194863 9063378 10389726 23665487 27128729 47330974 54257458 70996461 81386187 141992922 162772374 212989383 244158561 425978766 488317122 1112277889 2224555778 3336833667 6673667334 10010501001 20021002002