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107316012930 = 23572941429797
BaseRepresentation
bin110001111110010001…
…0000110011110000010
3101021000001000022021120
41203330202012132002
53224240344403210
6121144510333110
710516251026160
oct1437442063602
9337001008246
10107316012930
1141570100985
121896baba196
13a17342bb89
1452a095c230
152bd1677270
hex18fc886782

107316012930 has 128 divisors (see below), whose sum is σ = 311930196480. Its totient is φ = 23105832960.

The previous prime is 107316012919. The next prime is 107316012941. The reversal of 107316012930 is 39210613701.

It is an interprime number because it is at equal distance from previous prime (107316012919) and next prime (107316012941).

It is a junction number, because it is equal to n+sod(n) for n = 107316012891 and 107316012900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34792 + ... + 464588.

It is an arithmetic number, because the mean of its divisors is an integer number (2436954660).

Almost surely, 2107316012930 is an apocalyptic number.

107316012930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107316012930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155965098240).

107316012930 is an abundant number, since it is smaller than the sum of its proper divisors (204614183550).

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

107316012930 is a wasteful number, since it uses less digits than its factorization.

107316012930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429884.

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 107316012930 in words is "one hundred seven billion, three hundred sixteen million, twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 41 42 58 70 82 87 105 123 145 174 203 205 210 246 287 290 406 410 435 574 609 615 861 870 1015 1189 1218 1230 1435 1722 2030 2378 2870 3045 3567 4305 5945 6090 7134 8323 8610 11890 16646 17835 24969 35670 41615 49938 83230 124845 249690 429797 859594 1289391 2148985 2578782 3008579 4297970 6017158 6446955 9025737 12464113 12893910 15042895 17621677 18051474 24928226 30085790 35243354 37392339 45128685 52865031 62320565 74784678 87248791 88108385 90257370 105730062 123351739 124641130 174497582 176216770 186961695 246703478 261746373 264325155 370055217 373923390 436243955 511028633 523492746 528650310 616758695 740110434 872487910 1022057266 1233517390 1308731865 1533085899 1850276085 2555143165 2617463730 3066171798 3577200431 3700552170 5110286330 7154400862 7665429495 10731601293 15330858990 17886002155 21463202586 35772004310 53658006465 107316012930