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1006133332260 = 223579724696449
BaseRepresentation
bin11101010010000100011…
…10000100100100100100
310120012000011100222122010
432221002032010210210
5112441030113113020
62050113345034220
7132455631134130
oct16510216044444
93505004328563
101006133332260
11358776044231
12142bb4025970
1373b54b78a24
14369a8c423c0
151b289e39de0
hexea42384924

1006133332260 has 96 divisors (see below), whose sum is σ = 3252818822400. Its totient is φ = 227602464768.

The previous prime is 1006133332229. The next prime is 1006133332277. The reversal of 1006133332260 is 622333316001.

It is a super-2 number, since 2×10061333322602 (a number of 25 digits) contains 22 as substring.

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

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, 12307485 + ... + 12388964.

It is an arithmetic number, because the mean of its divisors is an integer number (33883529400).

Almost surely, 21006133332260 is an apocalyptic number.

1006133332260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006133332260 is an abundant number, since it is smaller than the sum of its proper divisors (2246685490140).

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

1006133332260 is a wasteful number, since it uses less digits than its factorization.

1006133332260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24696565 (or 24696563 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 1006133332260 its reverse (622333316001), we get a palindrome (1628466648261).

The spelling of 1006133332260 in words is "one trillion, six billion, one hundred thirty-three million, three hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 582 679 970 1164 1358 1455 1940 2037 2716 2910 3395 4074 5820 6790 8148 10185 13580 20370 40740 24696449 49392898 74089347 98785796 123482245 148178694 172875143 246964490 296357388 345750286 370446735 493928980 518625429 691500572 740893470 864375715 1037250858 1481786940 1728751430 2074501716 2395555553 2593127145 3457502860 4791111106 5186254290 7186666659 9582222212 10372508580 11977777765 14373333318 16768888871 23955555530 28746666636 33537777742 35933333295 47911111060 50306666613 67075555484 71866666590 83844444355 100613333226 143733333180 167688888710 201226666452 251533333065 335377777420 503066666130 1006133332260