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210120012119490 = 2351117932571092151
BaseRepresentation
bin101111110001101001100000…
…101011101011110111000010
31000112222021110220211122201020
4233301221200223223313002
5210020101241100310430
62022515445002450310
762154445531112244
oct5761514053536702
91015867426748636
10210120012119490
1160a50440029aa0
121b6967bab03996
139032302c85c55
1439c5c11932094
151945a8507db10
hexbf1a60aebdc2

210120012119490 has 128 divisors (see below), whose sum is σ = 553376118712320. Its totient is φ = 50638015296000.

The previous prime is 210120012119489. The next prime is 210120012119533. The reversal of 210120012119490 is 94911210021012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191844915 + ... + 192937065.

It is an arithmetic number, because the mean of its divisors is an integer number (4323250927440).

Almost surely, 2210120012119490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120012119490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276688059356160).

210120012119490 is an abundant number, since it is smaller than the sum of its proper divisors (343256106592830).

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

210120012119490 is a wasteful number, since it uses less digits than its factorization.

210120012119490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095608.

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 210120012119490 in words is "two hundred ten trillion, one hundred twenty billion, twelve million, one hundred nineteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 179 330 358 537 895 1074 1790 1969 2685 3257 3938 5370 5907 6514 9771 9845 11814 16285 19542 19690 29535 32570 35827 48855 59070 71654 97710 107481 179135 214962 358270 537405 583003 1074810 1092151 1166006 1749009 2184302 2915015 3276453 3498018 5460755 5830030 6413033 6552906 8745045 10921510 12013661 12826066 16382265 17490090 19239099 24027322 32065165 32764530 36040983 38478198 60068305 64130330 72081966 96195495 120136610 180204915 192390990 195495029 360409830 390990058 586485087 977475145 1172970174 1954950290 2150445319 2932425435 3557135807 4300890638 5864850870 6451335957 7114271614 10671407421 10752226595 12902671914 17785679035 21342814842 21504453190 32256679785 35571358070 39128493877 53357037105 64513359570 78256987754 106714074210 117385481631 195642469385 234770963262 391284938770 586927408155 636727309453 1173854816310 1273454618906 1910181928359 3183636547265 3820363856718 6367273094530 7004000403983 9550909641795 14008000807966 19101819283590 21012001211949 35020002019915 42024002423898 70040004039830 105060006059745 210120012119490