Search a number
-
+
103351463010 = 232523119341851
BaseRepresentation
bin110000001000000111…
…0100010110001100010
3100212202202000022012100
41200100032202301202
53143130433304020
6115251244311230
710316100640455
oct1402016426142
9325682008170
10103351463010
113a91622a944
1218044242516
139990c70053
1450061d549c
152a4d5a5a90
hex18103a2c62

103351463010 has 96 divisors (see below), whose sum is σ = 280638753408. Its totient is φ = 26339385600.

The previous prime is 103351462997. The next prime is 103351463023. The reversal of 103351463010 is 10364153301.

103351463010 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 5 + 14 + 630 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (103351462997) and next prime (103351463023).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2448585 + ... + 2490435.

It is an arithmetic number, because the mean of its divisors is an integer number (2923320348).

Almost surely, 2103351463010 is an apocalyptic number.

103351463010 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 103351463010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140319376704).

103351463010 is an abundant number, since it is smaller than the sum of its proper divisors (177287290398).

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

103351463010 is a wasteful number, since it uses less digits than its factorization.

103351463010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43080 (or 43077 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 103351463010 in words is "one hundred three billion, three hundred fifty-one million, four hundred sixty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1193 2070 2386 3579 5965 7158 10737 11930 17895 21474 27439 35790 41851 53685 54878 82317 83702 107370 125553 137195 164634 209255 246951 251106 274390 376659 411585 418510 493902 627765 753318 823170 962573 1234755 1255530 1883295 1925146 2469510 2887719 3766590 4812865 5775438 8663157 9625730 14438595 17326314 28877190 43315785 49928243 86631570 99856486 149784729 249641215 299569458 449354187 499282430 748923645 898708374 1148349589 1497847290 2246770935 2296699178 3445048767 4493541870 5741747945 6890097534 10335146301 11483495890 17225243835 20670292602 34450487670 51675731505 103351463010