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31100202302220 = 22325401673640223
BaseRepresentation
bin1110001001001000101001…
…00000101011101100001100
311002010011001120102112200200
413010210110200223230030
513034021203242132340
6150051122524453500
76356626001560152
oct704442440535414
9132104046375620
1031100202302220
119a00581467767
1235a35169aa290
1314479760c967c
147973876753d2
1538dec33db330
hex1c491482bb0c

31100202302220 has 144 divisors (see below), whose sum is σ = 94713207144192. Its totient is φ = 8260400332800.

The previous prime is 31100202302207. The next prime is 31100202302233. The reversal of 31100202302220 is 2220320200113.

It is an interprime number because it is at equal distance from previous prime (31100202302207) and next prime (31100202302233).

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 = 31100202302193 and 31100202302202.

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, 48257029 + ... + 48897251.

It is an arithmetic number, because the mean of its divisors is an integer number (657730605168).

Almost surely, 231100202302220 is an apocalyptic number.

31100202302220 is a gapful number since it is divisible by the number (30) 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 31100202302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47356603572096).

31100202302220 is an abundant number, since it is smaller than the sum of its proper divisors (63613004841972).

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

31100202302220 is a wasteful number, since it uses less digits than its factorization.

31100202302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641312 (or 641307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31100202302220 its reverse (2220320200113), we get a palindrome (33320522502333).

The spelling of 31100202302220 in words is "thirty-one trillion, one hundred billion, two hundred two million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 673 802 1203 1346 1604 2005 2019 2406 2692 3365 3609 4010 4038 4812 6015 6057 6730 7218 8020 8076 10095 12030 12114 13460 14436 18045 20190 24060 24228 30285 36090 40380 60570 72180 121140 269873 539746 640223 809619 1079492 1280446 1349365 1619238 1920669 2428857 2560892 2698730 3201115 3238476 3841338 4048095 4857714 5397460 5762007 6402230 7682676 8096190 9603345 9715428 11524014 12144285 12804460 16192380 19206690 23048028 24288570 28810035 38413380 48577140 57620070 115240140 256729423 430870079 513458846 770188269 861740158 1026917692 1283647115 1292610237 1540376538 1723480316 2154350395 2310564807 2567294230 2585220474 3080753076 3850941345 3877830711 4308700790 4621129614 5134588460 5170440948 6463051185 7701882690 7755661422 8617401580 9242259228 11552824035 12926102370 15403765380 15511322844 19389153555 23105648070 25852204740 38778307110 46211296140 77556614220 172778901679 345557803358 518336705037 691115606716 863894508395 1036673410074 1555010115111 1727789016790 2073346820148 2591683525185 3110020230222 3455578033580 5183367050370 6220040460444 7775050575555 10366734100740 15550101151110 31100202302220