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103101031320100 = 225211751124804541
BaseRepresentation
bin10111011100010100010100…
…010110010000101000100100
3111112001100210010211122012021
4113130110110112100220210
5102003201403004220400
61003135543202032524
730500542445353102
oct2734242426205044
9445040703748167
10103101031320100
112a93a9a1384010
12b691806948744
13456b50203a558
141b6618bb0ac72
15bdbd63a6971a
hex5dc514590a24

103101031320100 has 72 divisors (see below), whose sum is σ = 244393252580736. Its totient is φ = 37441362000000.

The previous prime is 103101031319977. The next prime is 103101031320107. The reversal of 103101031320100 is 1023130101301.

It is a super-2 number, since 2×1031010313201002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103101031320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61576171 + ... + 63228370.

It is an arithmetic number, because the mean of its divisors is an integer number (3394350730288).

Almost surely, 2103101031320100 is an apocalyptic number.

103101031320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101031320100 is an abundant number, since it is smaller than the sum of its proper divisors (141292221260636).

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

103101031320100 is a wasteful number, since it uses less digits than its factorization.

103101031320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124805317 (or 124805310 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103101031320100 its reverse (1023130101301), we get a palindrome (104124161421401).

The spelling of 103101031320100 in words is "one hundred three trillion, one hundred one billion, thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 751 1100 1502 3004 3755 7510 8261 15020 16522 18775 33044 37550 41305 75100 82610 165220 206525 413050 826100 124804541 249609082 499218164 624022705 1248045410 1372849951 2496090820 2745699902 3120113525 5491399804 6240227050 6864249755 12480454100 13728499510 27456999020 34321248775 68642497550 93728210291 137284995100 187456420582 374912841164 468641051455 937282102910 1031010313201 1874564205820 2062020626402 2343205257275 4124041252804 4686410514550 5155051566005 9372821029100 10310103132010 20620206264020 25775257830025 51550515660050 103101031320100