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109312157240 = 2351113103185539
BaseRepresentation
bin110010111001110000…
…0110010011000111000
3101110011011002221111022
41211303200302120320
53242332403012430
6122114534522012
710616600001656
oct1456340623070
9343134087438
10109312157240
11423a4954720
1219228506308
13a400b56260
14540dad1dd6
152c9ba274e5
hex1973832638

109312157240 has 128 divisors (see below), whose sum is σ = 291757939200. Its totient is φ = 36335761920.

The previous prime is 109312157239. The next prime is 109312157261. The reversal of 109312157240 is 42751213901.

It is a self number, because there is not a number n which added to its sum of digits gives 109312157240.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 496391 + ... + 681929.

It is an arithmetic number, because the mean of its divisors is an integer number (2279358900).

Almost surely, 2109312157240 is an apocalyptic number.

109312157240 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 109312157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145878969600).

109312157240 is an abundant number, since it is smaller than the sum of its proper divisors (182445781960).

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

109312157240 is a wasteful number, since it uses less digits than its factorization.

109312157240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185677 (or 185673 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 109312157240 in words is "one hundred nine billion, three hundred twelve million, one hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 103 104 110 130 143 206 220 260 286 412 440 515 520 572 715 824 1030 1133 1144 1339 1430 2060 2266 2678 2860 4120 4532 5356 5665 5720 6695 9064 10712 11330 13390 14729 22660 26780 29458 45320 53560 58916 73645 117832 147290 185539 294580 371078 589160 742156 927695 1484312 1855390 2040929 2412007 3710780 4081858 4824014 7421560 8163716 9648028 10204645 12060035 16327432 19110517 19296056 20409290 24120070 26532077 38221034 40818580 48240140 53064154 76442068 81637160 95552585 96480280 106128308 132660385 152884136 191105170 210215687 212256616 248436721 265320770 382210340 420431374 496873442 530641540 764420680 840862748 993746884 1051078435 1061283080 1242183605 1681725496 1987493768 2102156870 2484367210 2732803931 4204313740 4968734420 5465607862 8408627480 9937468840 10931215724 13664019655 21862431448 27328039310 54656078620 109312157240