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2072151520100 = 225299292086969
BaseRepresentation
bin11110001001110101110…
…110101111001101100100
321100002120210122211120022
4132021311312233031210
5232422231242120400
64223533330254312
7302464563210044
oct36116566571544
97302523584508
102072151520100
1172988156a842
1229571b427398
13120531667b2c
1472415123724
1538d7c430b85
hex1e275daf364

2072151520100 has 36 divisors (see below), whose sum is σ = 4497023825700. Its totient is φ = 828776732160.

The previous prime is 2072151520003. The next prime is 2072151520141. The reversal of 2072151520100 is 10251512702.

It can be written as a sum of positive squares in 6 ways, for example, as 209969234176 + 1862182285924 = 458224^2 + 1364618^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2072151520100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50585 + ... + 2036384.

Almost surely, 22072151520100 is an apocalyptic number.

2072151520100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072151520100 is an abundant number, since it is smaller than the sum of its proper divisors (2424872305600).

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

2072151520100 is a wasteful number, since it uses less digits than its factorization.

2072151520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096912 (or 2096905 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The spelling of 2072151520100 in words is "two trillion, seventy-two billion, one hundred fifty-one million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9929 19858 39716 49645 99290 198580 248225 496450 992900 2086969 4173938 8347876 10434845 20869690 41739380 52174225 104348450 208696900 20721515201 41443030402 82886060804 103607576005 207215152010 414430304020 518037880025 1036075760050 2072151520100