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103222031200 = 2552238216833
BaseRepresentation
bin110000000100010000…
…0110011001101100000
3100212102201110111010121
41200020200303031200
53142344314444300
6115230342210024
710312636534321
oct1401040631540
9325381414117
10103222031200
113a85a166902
1218008a23914
1399701c3092
144dd2d42448
152a4203a81a
hex1808833360

103222031200 has 144 divisors (see below), whose sum is σ = 263305709856. Its totient is φ = 39439769600.

The previous prime is 103222031189. The next prime is 103222031201. The reversal of 103222031200 is 2130222301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103222031201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15102984 + ... + 15109816.

It is an arithmetic number, because the mean of its divisors is an integer number (1828511874).

Almost surely, 2103222031200 is an apocalyptic number.

103222031200 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 103222031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131652854928).

103222031200 is an abundant number, since it is smaller than the sum of its proper divisors (160083678656).

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

103222031200 is a wasteful number, since it uses less digits than its factorization.

103222031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7684 counting only the distinct ones).

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

The spelling of 103222031200 in words is "one hundred three billion, two hundred twenty-two million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 821 920 1150 1642 1840 2300 3284 3680 4105 4600 6568 6833 8210 9200 13136 13666 16420 18400 18883 20525 26272 27332 32840 34165 37766 41050 54664 65680 68330 75532 82100 94415 109328 131360 136660 151064 157159 164200 170825 188830 218656 273320 302128 314318 328400 341650 377660 472075 546640 604256 628636 656800 683300 755320 785795 944150 1093280 1257272 1366600 1510640 1571590 1888300 2514544 2733200 3021280 3143180 3776600 3928975 5029088 5466400 5609893 6286360 7553200 7857950 11219786 12572720 15106400 15715900 22439572 25145440 28049465 31431800 44879144 56098930 62863600 89758288 112197860 125727200 129027539 140247325 179516576 224395720 258055078 280494650 448791440 516110156 560989300 645137695 897582880 1032220312 1121978600 1290275390 2064440624 2243957200 2580550780 3225688475 4128881248 4487914400 5161101560 6451376950 10322203120 12902753900 20644406240 25805507800 51611015600 103222031200