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10002020000202 = 2324121093032641
BaseRepresentation
bin1001000110001100011011…
…0110010110000111001010
31022102011221222012220011200
42101203012312112013022
52302333114110001302
633134510424405030
72051423244145566
oct221430666260712
938364858186150
1010002020000202
1132069185a107a
121156560316776
135772567b6109
142681595126a6
1512529745681c
hex918c6d961ca

10002020000202 has 72 divisors (see below), whose sum is σ = 22416288892140. Its totient is φ = 3222847180800.

The previous prime is 10002020000191. The next prime is 10002020000213. The reversal of 10002020000202 is 20200002020001.

It is an interprime number because it is at equal distance from previous prime (10002020000191) and next prime (10002020000213).

It can be written as a sum of positive squares in 6 ways, for example, as 3900621050001 + 6101398950201 = 1974999^2 + 2470101^2 .

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, 1781802 + ... + 4814442.

Almost surely, 210002020000202 is an apocalyptic number.

10002020000202 is an abundant number, since it is smaller than the sum of its proper divisors (12414268891938).

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

10002020000202 is a wasteful number, since it uses less digits than its factorization.

10002020000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032840 (or 3032796 counting only the distinct ones).

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

Adding to 10002020000202 its reverse (20200002020001), we get a palindrome (30202022020203).

The spelling of 10002020000202 in words is "ten trillion, two billion, twenty million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 41 82 109 123 218 246 327 369 654 738 981 1681 1962 3362 4469 5043 8938 10086 13407 15129 26814 30258 40221 80442 183229 366458 549687 1099374 1649061 3032641 3298122 6065282 9097923 18195846 27293769 54587538 124338281 248676562 330557869 373014843 661115738 746029686 991673607 1119044529 1983347214 2238089058 2975020821 5097869521 5950041642 10195739042 13552872629 15293608563 27105745258 30587217126 40658617887 45880825689 81317235774 91761651378 121975853661 243951707322 555667777789 1111335555578 1667003333367 3334006666734 5001010000101 10002020000202