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133113201001032 = 23371131770013297
BaseRepresentation
bin11110010001000011010101…
…000011111000001001001000
3122110022111102211221020111210
4132101003111003320021020
5114421411313424013112
61151035205455453120
740016053132455540
oct3621032503701110
9573274384836453
10133113201001032
1139460a9a79050a
1212b1a2918271a0
1359376a0811325
1424c29db444320
15105c8a6e2eb3c
hex7910d50f8248

133113201001032 has 64 divisors (see below), whose sum is σ = 380357043246720. Its totient is φ = 38028981961728.

The previous prime is 133113201000991. The next prime is 133113201001049. The reversal of 133113201001032 is 230100102311331.

It is a happy number.

It is a super-2 number, since 2×1331132010010322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33105393 + ... + 36907904.

It is an arithmetic number, because the mean of its divisors is an integer number (5943078800730).

Almost surely, 2133113201001032 is an apocalyptic number.

133113201001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133113201001032 is an abundant number, since it is smaller than the sum of its proper divisors (247243842245688).

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

133113201001032 is a wasteful number, since it uses less digits than its factorization.

133113201001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70024630 (or 70024626 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133113201001032 its reverse (230100102311331), we get a palindrome (363213303312363).

The spelling of 133113201001032 in words is "one hundred thirty-three trillion, one hundred thirteen billion, two hundred one million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 11317 22634 33951 45268 67902 79219 90536 135804 158438 237657 271608 316876 475314 633752 950628 1901256 70013297 140026594 210039891 280053188 420079782 490093079 560106376 840159564 980186158 1470279237 1680319128 1960372316 2940558474 3920744632 5881116948 11762233896 792340482149 1584680964298 2377021446447 3169361928596 4754042892894 5546383375043 6338723857192 9508085785788 11092766750086 16639150125129 19016171571576 22185533500172 33278300250258 44371067000344 66556600500516 133113201001032