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100200020019990 = 235111941533848029
BaseRepresentation
bin10110110010000110100010…
…100110011000101100010110
3111010210000202200021100001020
4112302012202212120230112
5101113134120111114430
6553035130445542010
730051132622230462
oct2662064246305426
9433700680240036
10100200020019990
1129a21654101720
12b2a3527b74906
1343baa8a654667
141aa59c78254a2
15b8b67489ab10
hex5b21a2998b16

100200020019990 has 128 divisors (see below), whose sum is σ = 276215903193600. Its totient is φ = 23006897648640.

The previous prime is 100200020019977. The next prime is 100200020019991. The reversal of 100200020019990 is 99910020002001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200020019991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24115296 + ... + 27963324.

It is an arithmetic number, because the mean of its divisors is an integer number (2157936743700).

Almost surely, 2100200020019990 is an apocalyptic number.

100200020019990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200020019990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138107951596800).

100200020019990 is an abundant number, since it is smaller than the sum of its proper divisors (176015883173610).

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

100200020019990 is a wasteful number, since it uses less digits than its factorization.

100200020019990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852222.

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 100200020019990 in words is "one hundred trillion, two hundred billion, twenty million, nineteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 4153 6270 8306 12459 20765 24918 41530 45683 62295 78907 91366 124590 137049 157814 228415 236721 274098 394535 456830 473442 685245 789070 867977 1183605 1370490 1735954 2367210 2603931 3848029 4339885 5207862 7696058 8679770 11544087 13019655 19240145 23088174 26039310 38480290 42328319 57720435 73112551 84656638 115440870 126984957 146225102 211641595 219337653 253969914 365562755 423283190 438675306 634924785 731125510 804238061 1096688265 1269849570 1608476122 2193376530 2412714183 4021190305 4825428366 8042380610 12063570915 15980864437 24127141830 31961728874 47942593311 79904322185 95885186622 159808644370 175789508807 239712966555 303636424303 351579017614 479425933110 527368526421 607272848606 878947544035 910909272909 1054737052842 1518182121515 1757895088070 1821818545818 2636842632105 3036364243030 3340000667333 4554546364545 5273685264210 6680001334666 9109092729090 10020002001999 16700003336665 20040004003998 33400006673330 50100010009995 100200020019990