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2000002202120 = 2351317733099241
BaseRepresentation
bin11101000110101001011…
…010111011101000001000
321002012100120222201201002
4131012221122323220020
5230232001030431440
64130442140114132
7264331630136156
oct35065132735010
97065316881632
102000002202120
1170121811531a
12283744835948
131167a3b557c0
146cb2cca43d6
15370582b5115
hex1d1a96bba08

2000002202120 has 128 divisors (see below), whose sum is σ = 5201519833440. Its totient is φ = 685502300160.

The previous prime is 2000002202113. The next prime is 2000002202141. The reversal of 2000002202120 is 212022000002.

It can be written as a sum of positive squares in 16 ways, for example, as 47202776644 + 1952799425476 = 217262^2 + 1397426^2 .

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, 904301 + ... + 2194940.

Almost surely, 22000002202120 is an apocalyptic number.

2000002202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000002202120 is an abundant number, since it is smaller than the sum of its proper divisors (3201517631320).

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

2000002202120 is a wasteful number, since it uses less digits than its factorization.

2000002202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099355 (or 3099351 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2000002202120 its reverse (212022000002), we get a palindrome (2212024202122).

The spelling of 2000002202120 in words is "two trillion, two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 73 85 104 130 136 146 170 221 260 292 340 365 442 520 584 680 730 884 949 1105 1241 1460 1768 1898 2210 2482 2920 3796 4420 4745 4964 6205 7592 8840 9490 9928 12410 16133 18980 24820 32266 37960 49640 64532 80665 129064 161330 322660 645320 3099241 6198482 12396964 15496205 24793928 30992410 40290133 52687097 61984820 80580266 105374194 123969640 161160532 201450665 210748388 226244593 263435485 322321064 402901330 421496776 452489186 526870970 684932261 805802660 904978372 1053741940 1131222965 1369864522 1611605320 1809956744 2107483880 2262445930 2739729044 2941179709 3424661305 3846158081 4524891860 5479458088 5882359418 6849322610 7692316162 9049783720 11764718836 13698645220 14705898545 15384632324 19230790405 23529437672 27397290440 29411797090 30769264648 38461580810 50000055053 58823594180 76923161620 100000110106 117647188360 153846323240 200000220212 250000275265 400000440424 500000550530 1000001101060 2000002202120