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2102985428200 = 235213776751293
BaseRepresentation
bin11110100110100011101…
…100110000110011101000
321110001011200002122210121
4132212203230300303220
5233423403232200300
64250033112053024
7304635640125616
oct36464354606350
97401150078717
102102985428200
117409644a4318
1229b6a5694174
13123406725877
1473adc2026b6
1539a8437d81a
hex1e9a3b30ce8

2102985428200 has 48 divisors (see below), whose sum is σ = 4925130535980. Its totient is φ = 835054056960.

The previous prime is 2102985428177. The next prime is 2102985428221. The reversal of 2102985428200 is 28245892012.

It can be written as a sum of positive squares in 6 ways, for example, as 851777634724 + 1251207793476 = 922918^2 + 1118574^2 .

It is a super-2 number, since 2×21029854282002 (a number of 25 digits) contains 22 as substring.

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, 38348247 + ... + 38403046.

Almost surely, 22102985428200 is an apocalyptic number.

2102985428200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102985428200 is an abundant number, since it is smaller than the sum of its proper divisors (2822145107780).

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

2102985428200 is a wasteful number, since it uses less digits than its factorization.

2102985428200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76751446 (or 76751437 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 2102985428200 in words is "two trillion, one hundred two billion, nine hundred eighty-five million, four hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 5480 6850 13700 27400 76751293 153502586 307005172 383756465 614010344 767512930 1535025860 1918782325 3070051720 3837564650 7675129300 10514927141 15350258600 21029854282 42059708564 52574635705 84119417128 105149271410 210298542820 262873178525 420597085640 525746357050 1051492714100 2102985428200