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101322002320 = 2457113135937
BaseRepresentation
bin101111001011101000…
…0110000111110010000
3100200112022020000111121
41132113100300332100
53130001413033240
6114314030052024
710214565544450
oct1362720607620
9320468200447
10101322002320
1139a746a1000
121777864a014
13972967c336
144c9286bd60
15298032404a
hex1797430f90

101322002320 has 160 divisors (see below), whose sum is σ = 296131689216. Its totient is φ = 31580651520.

The previous prime is 101322002203. The next prime is 101322002339. The reversal of 101322002320 is 23200223101.

It is a super-2 number, since 2×1013220023202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101322002294 and 101322002303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677392 + ... + 813328.

Almost surely, 2101322002320 is an apocalyptic number.

101322002320 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 101322002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148065844608).

101322002320 is an abundant number, since it is smaller than the sum of its proper divisors (194809686896).

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

101322002320 is a wasteful number, since it uses less digits than its factorization.

101322002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135990 (or 135962 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101322002320 its reverse (23200223101), we get a palindrome (124522225421).

The spelling of 101322002320 in words is "one hundred one billion, three hundred twenty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1331 1540 1694 1936 2420 2662 3080 3388 4235 4840 5324 6160 6655 6776 8470 9317 9680 10648 13310 13552 16940 18634 21296 26620 33880 37268 46585 53240 67760 74536 93170 106480 135937 149072 186340 271874 372680 543748 679685 745360 951559 1087496 1359370 1495307 1903118 2174992 2718740 2990614 3806236 4757795 5437480 5981228 7476535 7612472 9515590 10467149 10874960 11962456 14953070 15224944 16448377 19031180 20934298 23924912 29906140 32896754 38062360 41868596 52335745 59812280 65793508 76124720 82241885 83737192 104671490 115138639 119624560 131587016 164483770 167474384 180932147 209342980 230277278 263174032 328967540 361864294 418685960 460554556 575693195 657935080 723728588 837371920 904660735 921109112 1151386390 1266525029 1315870160 1447457176 1809321470 1842218224 2302772780 2533050058 2894914352 3618642940 4605545560 5066100116 6332625145 7237285880 9211091120 10132200232 12665250290 14474571760 20264400464 25330500580 50661001160 101322002320