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100073700740 = 2251315122911131
BaseRepresentation
bin101110100110011011…
…0110111110110000100
3100120022022022201122202
41131030312313312010
53114422331410430
6113550114414032
710141630264316
oct1351466676604
9316268281582
10100073700740
1139493aa4602
121748a591318
13958ab75850
144bb4b677b6
15290a946d45
hex174cdb7d84

100073700740 has 96 divisors (see below), whose sum is σ = 228834735360. Its totient is φ = 36542016000.

The previous prime is 100073700719. The next prime is 100073700773. The reversal of 100073700740 is 47007370001.

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, 8984975 + ... + 8996105.

It is an arithmetic number, because the mean of its divisors is an integer number (2383695160).

Almost surely, 2100073700740 is an apocalyptic number.

100073700740 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 100073700740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114417367680).

100073700740 is an abundant number, since it is smaller than the sum of its proper divisors (128761034620).

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

100073700740 is a wasteful number, since it uses less digits than its factorization.

100073700740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533 (or 11531 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The spelling of 100073700740 in words is "one hundred billion, seventy-three million, seven hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 229 260 302 458 604 755 916 1145 1510 1963 2290 2977 3020 3926 4580 5954 7852 9815 11131 11908 14885 19630 22262 29770 34579 39260 44524 55655 59540 69158 111310 138316 144703 172895 222620 289406 345790 449527 578812 691580 723515 899054 1447030 1680781 1798108 2247635 2548999 2894060 3361562 4495270 5097998 6723124 8403905 8990540 10195996 12744995 16807810 21850153 25489990 33136987 33615620 43700306 50979980 66273974 87400612 109250765 132547948 165684935 218501530 331369870 384898849 437003060 662739740 769797698 1539595396 1924494245 3848988490 5003685037 7697976980 10007370074 20014740148 25018425185 50036850370 100073700740