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1023115435020 = 223357270665459
BaseRepresentation
bin11101110001101100110…
…11101001110000001100
310121210211200012012011000
432320312123221300030
5113230320022410040
62102002430300300
7133626516464610
oct16706633516014
93553750165130
101023115435020
1136499aa993a8
12146353357690
1375630243b43
143773a3c3340
151b930c79130
hexee366e9c0c

1023115435020 has 96 divisors (see below), whose sum is σ = 3637743782400. Its totient is φ = 233854955712.

The previous prime is 1023115435019. The next prime is 1023115435039. The reversal of 1023115435020 is 205345113201.

1023115435020 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 154 + 3 + 502 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135328950 + ... + 135336509.

It is an arithmetic number, because the mean of its divisors is an integer number (37893164400).

Almost surely, 21023115435020 is an apocalyptic number.

1023115435020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023115435020 is an abundant number, since it is smaller than the sum of its proper divisors (2614628347380).

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

1023115435020 is a wasteful number, since it uses less digits than its factorization.

1023115435020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270665484 (or 270665476 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1023115435020 in words is "one trillion, twenty-three billion, one hundred fifteen million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 270665459 541330918 811996377 1082661836 1353327295 1623992754 1894658213 2435989131 2706654590 3247985508 3789316426 4059981885 4871978262 5413309180 5683974639 7307967393 7578632852 8119963770 9473291065 9743956524 11367949278 12179945655 14615934786 16239927540 17051923917 18946582130 22735898556 24359891310 28419873195 29231869572 34103847834 36539836965 37893164260 48719782620 51155771751 56839746390 68207695668 73079673930 85259619585 102311543502 113679492780 146159347860 170519239170 204623087004 255778858755 341038478340 511557717510 1023115435020