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100023115320 = 23325863321949
BaseRepresentation
bin101110100100111010…
…1111001111000111000
3100120011210010201111200
41131021311321320320
53114321404142240
6113541110254200
710140444311052
oct1351165717070
9316153121450
10100023115320
1139468493a77
1217475657360
139580543b4b
144bac15a8d2
1529062a3930
hex1749d79e38

100023115320 has 96 divisors (see below), whose sum is σ = 325452816000. Its totient is φ = 26641840896.

The previous prime is 100023115267. The next prime is 100023115331. The reversal of 100023115320 is 23511320001.

100023115320 is a `hidden beast` number, since 100 + 0 + 2 + 31 + 1 + 532 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100023115293 and 100023115302.

It is a congruent number.

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, 149706 + ... + 471654.

It is an arithmetic number, because the mean of its divisors is an integer number (3390133500).

Almost surely, 2100023115320 is an apocalyptic number.

100023115320 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 100023115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162726408000).

100023115320 is an abundant number, since it is smaller than the sum of its proper divisors (225429700680).

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

100023115320 is a wasteful number, since it uses less digits than its factorization.

100023115320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322829 (or 322822 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100023115320 its reverse (23511320001), we get a palindrome (123534435321).

The spelling of 100023115320 in words is "one hundred billion, twenty-three million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 863 1726 2589 3452 4315 5178 6904 7767 8630 10356 12945 15534 17260 20712 25890 31068 34520 38835 51780 62136 77670 103560 155340 310680 321949 643898 965847 1287796 1609745 1931694 2575592 2897541 3219490 3863388 4829235 5795082 6438980 7726776 9658470 11590164 12877960 14487705 19316940 23180328 28975410 38633880 57950820 115901640 277841987 555683974 833525961 1111367948 1389209935 1667051922 2222735896 2500577883 2778419870 3334103844 4167629805 5001155766 5556839740 6668207688 8335259610 10002311532 11113679480 12502889415 16670519220 20004623064 25005778830 33341038440 50011557660 100023115320