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1000001010120 = 23357324295457
BaseRepresentation
bin11101000110101001011…
…01000111100111001000
310112121011210022202002220
432203110231013213020
5112341000224310440
62043221044054040
7132150646224000
oct16432455074710
93477153282086
101000001010120
11356109555902
12141982394320
13733b8560548
143658662b000
151b02b8b58d0
hexe8d4b479c8

1000001010120 has 128 divisors (see below), whose sum is σ = 3498545952000. Its totient is φ = 228571650048.

The previous prime is 1000001010119. The next prime is 1000001010143. The reversal of 1000001010120 is 210101000001.

1000001010120 is digitally balanced in base 2 and base 4, because in such bases 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1000001010099 and 1000001010108.

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, 12106569 + ... + 12188888.

It is an arithmetic number, because the mean of its divisors is an integer number (27332390250).

Almost surely, 21000001010120 is an apocalyptic number.

1000001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000001010120 is an abundant number, since it is smaller than the sum of its proper divisors (2498544941880).

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

1000001010120 is a wasteful number, since it uses less digits than its factorization.

1000001010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24295492 (or 24295474 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000001010120 its reverse (210101000001), we get a palindrome (1210102010121).

The spelling of 1000001010120 in words is "one trillion, one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 24295457 48590914 72886371 97181828 121477285 145772742 170068199 194363656 242954570 291545484 340136398 364431855 485909140 510204597 583090968 680272796 728863710 850340995 971818280 1020409194 1190477393 1360545592 1457727420 1700681990 2040818388 2380954786 2551022985 2915454840 3401363980 3571432179 4081636776 4761909572 5102045970 5952386965 6802727960 7142864358 8333341751 9523819144 10204091940 11904773930 14285728716 16666683502 17857160895 20408183880 23809547860 25000025253 28571457432 33333367004 35714321790 41666708755 47619095720 50000050506 66666734008 71428643580 83333417510 100000101012 125000126265 142857287160 166666835020 200000202024 250000252530 333333670040 500000505060 1000001010120