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102223431300 = 223524373910723
BaseRepresentation
bin101111100110011111…
…1011100011010000100
3100202212010102100121010
41133030333130122010
53133323144300200
6114543310522220
710246122554334
oct1371477343204
9322763370533
10102223431300
113a397509a31
121798a506370
139841356273
144d3a47b0c4
1529d4534150
hex17ccfdc684

102223431300 has 144 divisors (see below), whose sum is σ = 303082545920. Its totient is φ = 26587128960.

The previous prime is 102223431269. The next prime is 102223431313. The reversal of 102223431300 is 3134322201.

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, 9527739 + ... + 9538461.

Almost surely, 2102223431300 is an apocalyptic number.

102223431300 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 102223431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151541272960).

102223431300 is an abundant number, since it is smaller than the sum of its proper divisors (200859114620).

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

102223431300 is a wasteful number, since it uses less digits than its factorization.

102223431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11515 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102223431300 its reverse (3134322201), we get a palindrome (105357753501).

The spelling of 102223431300 in words is "one hundred two billion, two hundred twenty-three million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 739 860 1075 1290 1478 2150 2217 2580 2956 3225 3695 4300 4434 6450 7390 8868 10723 11085 12900 14780 18475 21446 22170 31777 32169 36950 42892 44340 53615 55425 63554 64338 73900 95331 107230 110850 127108 128676 158885 160845 190662 214460 221700 268075 317770 321690 381324 461089 476655 536150 635540 643380 794425 804225 922178 953310 1072300 1383267 1588850 1608450 1844356 1906620 2305445 2383275 2766534 3177700 3216900 4610890 4766550 5533068 6916335 7924297 9221780 9533100 11527225 13832670 15848594 23054450 23772891 27665340 31697188 34581675 39621485 46108900 47545782 69163350 79242970 95091564 118864455 138326700 158485940 198107425 237728910 340744771 396214850 475457820 594322275 681489542 792429700 1022234313 1188644550 1362979084 1703723855 2044468626 2377289100 3407447710 4088937252 5111171565 6814895420 8518619275 10222343130 17037238550 20444686260 25555857825 34074477100 51111715650 102223431300