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100120432220304 = 24323235591107893
BaseRepresentation
bin10110110000111100011010…
…110011000001100010010000
3111010111102100001210012120120
4112300330122303001202100
5101110333121122022204
6552534405215110240
730042314434133166
oct2660743263014220
9433442301705516
10100120432220304
11299a0922943861
12b290016212380
1343b3415a43372
141aa1bd7709236
15b895676a06d9
hex5b0f1acc1890

100120432220304 has 120 divisors (see below), whose sum is σ = 270455006230080. Its totient is φ = 31913458342656.

The previous prime is 100120432220299. The next prime is 100120432220371. The reversal of 100120432220304 is 403022234021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89816182 + ... + 90924074.

It is an arithmetic number, because the mean of its divisors is an integer number (2253791718584).

Almost surely, 2100120432220304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120432220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135227503115040).

100120432220304 is an abundant number, since it is smaller than the sum of its proper divisors (170334574009776).

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

100120432220304 is a wasteful number, since it uses less digits than its factorization.

100120432220304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111509 (or 1111480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100120432220304 its reverse (403022234021001), we get a palindrome (503142666241305).

The spelling of 100120432220304 in words is "one hundred trillion, one hundred twenty billion, four hundred thirty-two million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 529 552 1058 1104 1587 2116 3174 3559 4232 6348 7118 8464 10677 12696 14236 21354 25392 28472 42708 56944 81857 85416 163714 170832 245571 327428 491142 654856 982284 1107893 1309712 1882711 1964568 2215786 3323679 3765422 3929136 4431572 5648133 6647358 7530844 8863144 11296266 13294716 15061688 17726288 22592532 25481539 26589432 30123376 45185064 50963078 53178864 76444617 90370128 101926156 152889234 203852312 305778468 407704624 586075397 611556936 1172150794 1223113872 1758226191 2344301588 3516452382 3942991187 4688603176 7032904764 7885982374 9377206352 11828973561 14065809528 15771964748 23657947122 28131619056 31543929496 47315894244 63087858992 90688797301 94631788488 181377594602 189263576976 272066391903 362755189204 544132783806 725510378408 1088265567612 1451020756816 2085842337923 2176531135224 4171684675846 4353062270448 6257527013769 8343369351692 12515054027538 16686738703384 25030108055076 33373477406768 50060216110152 100120432220304