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100023321132 = 223272109661787
BaseRepresentation
bin101110100100111011…
…0101100001000101100
3100120011210112011211100
41131021312230020230
53114321432234012
6113541114523100
710140446126100
oct1351166541054
9316153464740
10100023321132
1139468614669
1217475736490
1395805b6727
144bac1b1900
1529062e48dc
hex1749dac22c

100023321132 has 216 divisors, whose sum is σ = 297641263920. Its totient is φ = 28237144320.

The previous prime is 100023321119. The next prime is 100023321179. The reversal of 100023321132 is 231123320001.

It is a super-2 number, since 2×1000233211322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127094043 + ... + 127094829.

Almost surely, 2100023321132 is an apocalyptic number.

100023321132 is a gapful number since it is divisible by the number (12) 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 100023321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148820631960).

100023321132 is an abundant number, since it is smaller than the sum of its proper divisors (197617942788).

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

100023321132 is a wasteful number, since it uses less digits than its factorization.

100023321132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100023321132 its reverse (231123320001), we get a palindrome (331146641133).

The spelling of 100023321132 in words is "one hundred billion, twenty-three million, three hundred twenty-one thousand, one hundred thirty-two".