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100304332000 = 2553163153841
BaseRepresentation
bin101110101101010011…
…0101010010011100000
3100120220101022000021021
41131122212222103200
53120410402111000
6114025033535224
710150430516545
oct1353246522340
9316811260237
10100304332000
11395a21a9254
1217533874514
1395c6896252
144bd7640bcc
152920d0211a
hex175a9aa4e0

100304332000 has 96 divisors (see below), whose sum is σ = 247961304864. Its totient is φ = 39875328000.

The previous prime is 100304331979. The next prime is 100304332021. The reversal of 100304332000 is 233403001.

It is an interprime number because it is at equal distance from previous prime (100304331979) and next prime (100304332021).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575080 + ... + 728920.

It is an arithmetic number, because the mean of its divisors is an integer number (2582930259).

Almost surely, 2100304332000 is an apocalyptic number.

100304332000 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 100304332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123980652432).

100304332000 is an abundant number, since it is smaller than the sum of its proper divisors (147656972864).

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

100304332000 is a wasteful number, since it uses less digits than its factorization.

100304332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154029 (or 154011 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 100304332000 its reverse (233403001), we get a palindrome (100537735001).

The spelling of 100304332000 in words is "one hundred billion, three hundred four million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 163 200 250 326 400 500 652 800 815 1000 1304 1630 2000 2608 3260 4000 4075 5216 6520 8150 13040 16300 20375 26080 32600 40750 65200 81500 130400 153841 163000 307682 326000 615364 652000 769205 1230728 1538410 2461456 3076820 3846025 4922912 6153640 7692050 12307280 15384100 19230125 24614560 25076083 30768200 38460250 50152166 61536400 76920500 100304332 123072800 125380415 153841000 200608664 250760830 307682000 401217328 501521660 615364000 626902075 802434656 1003043320 1253804150 2006086640 2507608300 3134510375 4012173280 5015216600 6269020750 10030433200 12538041500 20060866400 25076083000 50152166000 100304332000