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254402030342100 = 2235229150919193757
BaseRepresentation
bin111001110110000010010110…
…101001100000111111010100
31020100202121002220111110101210
4321312002112221200333110
5231321110324231421400
62301022402422221420
7104404640320416564
oct7166022651407724
91210677086443353
10254402030342100
1174073327976483
1224648999284870
13abc5015957874
1446b71a4246da4
151e628a995a950
hexe76096a60fd4

254402030342100 has 144 divisors (see below), whose sum is σ = 761460569654400. Its totient is φ = 65500440337920.

The previous prime is 254402030342027. The next prime is 254402030342123. The reversal of 254402030342100 is 1243030204452.

254402030342100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312898422 + ... + 1313092178.

It is an arithmetic number, because the mean of its divisors is an integer number (5287920622600).

Almost surely, 2254402030342100 is an apocalyptic number.

254402030342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254402030342100 is an abundant number, since it is smaller than the sum of its proper divisors (507058539312300).

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

254402030342100 is a wasteful number, since it uses less digits than its factorization.

254402030342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344722 (or 344715 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 254402030342100 its reverse (1243030204452), we get a palindrome (255645060546552).

The spelling of 254402030342100 in words is "two hundred fifty-four trillion, four hundred two billion, thirty million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 150919 193757 301838 387514 452757 581271 603676 754595 775028 905514 968785 1162542 1509190 1811028 1937570 2263785 2325084 2906355 3018380 3772975 3875140 4376651 4527570 4843925 5618953 5812710 7545950 8753302 9055140 9687850 11237906 11318925 11625420 13129953 14531775 15091900 16856859 17506604 19375700 21883255 22475812 22637850 26259906 28094765 29063550 33713718 43766510 45275700 52519812 56189530 58127100 65649765 67427436 84284295 87533020 109416275 112379060 131299530 140473825 168568590 218832550 262599060 280947650 328248825 337137180 421421475 437665100 561895300 656497650 842842950 1312995300 1685685900 29241612683 58483225366 87724838049 116966450732 146208063415 175449676098 292416126830 350899352196 438624190245 584832253660 731040317075 848006767807 877248380490 1462080634150 1696013535614 1754496760980 2193120951225 2544020303421 2924161268300 3392027071228 4240033839035 4386241902450 5088040606842 8480067678070 8772483804900 10176081213684 12720101517105 16960135356140 21200169195175 25440203034210 42400338390350 50880406068420 63600507585525 84800676780700 127201015171050 254402030342100