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202002020000100 = 223352148150516923
BaseRepresentation
bin101101111011100001000010…
…101001010110000101100100
3222111020012112002110112202000
4231323201002221112011210
5202434100114110000400
61553342240310045300
760356110236453645
oct5573410251260544
9874205462415660
10202002020000100
1159400637121101
121a7a5417949830
13889392a180a88
1437c4d428976cc
151854809580600
hexb7b842a56164

202002020000100 has 144 divisors (see below), whose sum is σ = 649837586274240. Its totient is φ = 53830832083200.

The previous prime is 202002020000041. The next prime is 202002020000119. The reversal of 202002020000100 is 1000020200202.

202002020000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 21259762 + ... + 29257161.

Almost surely, 2202002020000100 is an apocalyptic number.

202002020000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002020000100 is an abundant number, since it is smaller than the sum of its proper divisors (447835566274140).

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

202002020000100 is a wasteful number, since it uses less digits than its factorization.

202002020000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50518427 (or 50518414 counting only the distinct ones).

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

Adding to 202002020000100 its reverse (1000020200202), we get a palindrome (203002040200302).

The spelling of 202002020000100 in words is "two hundred two trillion, two billion, twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1481 2700 2962 4443 5924 7405 8886 13329 14810 17772 22215 26658 29620 37025 39987 44430 53316 66645 74050 79974 88860 111075 133290 148100 159948 199935 222150 266580 333225 399870 444300 666450 799740 999675 1332900 1999350 3998700 50516923 101033846 151550769 202067692 252584615 303101538 454652307 505169230 606203076 757753845 909304614 1010338460 1262923075 1363956921 1515507690 1818609228 2273261535 2525846150 2727913842 3031015380 3788769225 4546523070 5051692300 5455827684 6819784605 7577538450 9093046140 11366307675 13639569210 15155076900 22732615350 27279138420 34098923025 45465230700 68197846050 74815562963 136395692100 149631125926 224446688889 299262251852 374077814815 448893377778 673340066667 748155629630 897786755556 1122233444445 1346680133334 1496311259260 1870389074075 2020020200001 2244466888890 2693360266668 3366700333335 3740778148150 4040040400002 4488933777780 5611167222225 6733400666670 7481556296300 8080080800004 10100101000005 11222334444450 13466801333340 16833501666675 20200202000010 22444668888900 33667003333350 40400404000020 50500505000025 67334006666700 101001010000050 202002020000100