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133213110000 = 243544440437
BaseRepresentation
bin111110000010000011…
…1101011111011110000
3110201211211222010220220
41330010013223323300
54140310024010000
6141110335133040
712424100515665
oct1740407537360
9421754863826
10133213110000
115154a367243
1221998974180
13c73c783659
14663a107a6c
1536e9ea11a0
hex1f041ebef0

133213110000 has 100 divisors (see below), whose sum is σ = 430029777672. Its totient is φ = 35523488000.

The previous prime is 133213109999. The next prime is 133213110001. The reversal of 133213110000 is 11312331.

It is an interprime number because it is at equal distance from previous prime (133213109999) and next prime (133213110001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213110001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2190219 + ... + 2250218.

Almost surely, 2133213110000 is an apocalyptic number.

133213110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133213110000 is an abundant number, since it is smaller than the sum of its proper divisors (296816667672).

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

133213110000 is an equidigital number, since it uses as much as digits as its factorization.

133213110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440468 (or 4440447 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133213110000 its reverse (11312331), we get a palindrome (133224422331).

The spelling of 133213110000 in words is "one hundred thirty-three billion, two hundred thirteen million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 4440437 8880874 13321311 17761748 22202185 26642622 35523496 44404370 53285244 66606555 71046992 88808740 106570488 111010925 133213110 177617480 213140976 222021850 266426220 333032775 355234960 444043700 532852440 555054625 666065550 888087400 1065704880 1110109250 1332131100 1665163875 1776174800 2220218500 2664262200 2775273125 3330327750 4440437000 5328524400 5550546250 6660655500 8325819375 8880874000 11101092500 13321311000 16651638750 22202185000 26642622000 33303277500 44404370000 66606555000 133213110000