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132030033000 = 23353167263533
BaseRepresentation
bin111101011110110011…
…0100110110001101000
3110121210101210121101020
41322331212212301220
54130344142024000
6140353113452440
712352553522625
oct1727546466150
9417711717336
10132030033000
1150aa2569a58
1221708711120
13c5b1635ba8
146566d4134c
15367b1a9ba0
hex1ebd9a6c68

132030033000 has 128 divisors (see below), whose sum is σ = 414401944320. Its totient is φ = 34997049600.

The previous prime is 132030032983. The next prime is 132030033001. The reversal of 132030033000 is 330030231.

It is a super-2 number, since 2×1320300330002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132030033001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369234 + ... + 632766.

It is an arithmetic number, because the mean of its divisors is an integer number (3237515190).

Almost surely, 2132030033000 is an apocalyptic number.

132030033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132030033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207200972160).

132030033000 is an abundant number, since it is smaller than the sum of its proper divisors (282371911320).

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

132030033000 is a wasteful number, since it uses less digits than its factorization.

132030033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263724 (or 263710 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 132030033000 its reverse (330030231), we get a palindrome (132360063231).

The spelling of 132030033000 in words is "one hundred thirty-two billion, thirty million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 167 200 250 300 334 375 500 501 600 668 750 835 1000 1002 1336 1500 1670 2004 2505 3000 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 20875 25050 33400 41750 50100 62625 83500 100200 125250 167000 250500 263533 501000 527066 790599 1054132 1317665 1581198 2108264 2635330 3162396 3952995 5270660 6324792 6588325 7905990 10541320 13176650 15811980 19764975 26353300 31623960 32941625 39529950 44010011 52706600 65883250 79059900 88020022 98824875 131766500 132030033 158119800 176040044 197649750 220050055 263533000 264060066 352080088 395299500 440100110 528120132 660150165 790599000 880200220 1056240264 1100250275 1320300330 1760400440 2200500550 2640600660 3300750825 4401001100 5281201320 5501251375 6601501650 8802002200 11002502750 13203003300 16503754125 22005005500 26406006600 33007508250 44010011000 66015016500 132030033000