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153232103100 = 223521736314679
BaseRepresentation
bin1000111010110101011…
…0000101011010111100
3112122112000020100210210
42032231112011122330
510002304404244400
6154221023432420
714033143246236
oct2165526053274
9478460210723
10153232103100
1159a9258903a
1225845155710
13115b007b2bb
1475b8b35256
153ebc71e950
hex23ad5856bc

153232103100 has 144 divisors (see below), whose sum is σ = 446716408320. Its totient is φ = 40552646400.

The previous prime is 153232102979. The next prime is 153232103117. The reversal of 153232103100 is 1301232351.

It is a super-2 number, since 2×1532321031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32746561 + ... + 32751239.

It is an arithmetic number, because the mean of its divisors is an integer number (3102197280).

Almost surely, 2153232103100 is an apocalyptic number.

153232103100 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 153232103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223358204160).

153232103100 is an abundant number, since it is smaller than the sum of its proper divisors (293484305220).

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

153232103100 is a wasteful number, since it uses less digits than its factorization.

153232103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 153232103100 its reverse (1301232351), we get a palindrome (154533335451).

The spelling of 153232103100 in words is "one hundred fifty-three billion, two hundred thirty-two million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 631 692 865 1038 1262 1730 1893 2076 2524 2595 3155 3460 3786 4325 4679 5190 6310 7572 8650 9358 9465 10380 12620 12975 14037 15775 17300 18716 18930 23395 25950 28074 31550 37860 46790 47325 51900 56148 63100 70185 93580 94650 109163 116975 140370 189300 218326 233950 280740 327489 350925 436652 467900 545815 654978 701850 809467 1091630 1309956 1403700 1618934 1637445 2183260 2428401 2729075 2952449 3237868 3274890 4047335 4856802 5458150 5904898 6549780 8094670 8187225 8857347 9713604 10916300 11809796 12142005 14762245 16189340 16374450 17714694 20236675 24284010 29524490 32748900 35429388 40473350 44286735 48568020 59048980 60710025 73811225 80946700 88573470 121420050 147622450 177146940 221433675 242840100 295244900 442867350 510773677 885734700 1021547354 1532321031 2043094708 2553868385 3064642062 5107736770 6129284124 7661605155 10215473540 12769341925 15323210310 25538683850 30646420620 38308025775 51077367700 76616051550 153232103100