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103456719030 = 23572943395069
BaseRepresentation
bin110000001011010000…
…0000100000010110110
3100220001002001212022110
41200112200010002312
53143334410002110
6115305524311450
710321516413360
oct1402640040266
9326032055273
10103456719030
113a96a691295
1218073542586
1399a9a04012
145016193d30
152a57947a20
hex18168040b6

103456719030 has 128 divisors (see below), whose sum is σ = 300379622400. Its totient is φ = 22300798464.

The previous prime is 103456719019. The next prime is 103456719031. The reversal of 103456719030 is 30917654301.

It is a self number, because there is not a number n which added to its sum of digits gives 103456719030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103456719031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64336 + ... + 459404.

It is an arithmetic number, because the mean of its divisors is an integer number (2346715800).

Almost surely, 2103456719030 is an apocalyptic number.

103456719030 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 103456719030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150189811200).

103456719030 is an abundant number, since it is smaller than the sum of its proper divisors (196922903370).

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

103456719030 is a wasteful number, since it uses less digits than its factorization.

103456719030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395158.

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 103456719030 in words is "one hundred three billion, four hundred fifty-six million, seven hundred nineteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 43 58 70 86 87 105 129 145 174 203 210 215 258 290 301 406 430 435 602 609 645 870 903 1015 1218 1247 1290 1505 1806 2030 2494 3010 3045 3741 4515 6090 6235 7482 8729 9030 12470 17458 18705 26187 37410 43645 52374 87290 130935 261870 395069 790138 1185207 1975345 2370414 2765483 3950690 5530966 5926035 8296449 11457001 11852070 13827415 16592898 16987967 22914002 27654830 33975934 34371003 41482245 50963901 57285005 68742006 80199007 82964490 84939835 101927802 114570010 118915769 160398014 169879670 171855015 237831538 240597021 254819505 343710030 356747307 400995035 481194042 492651043 509639010 594578845 713494614 801990070 985302086 1189157690 1202985105 1477953129 1783736535 2405970210 2463255215 2955906258 3448557301 3567473070 4926510430 6897114602 7389765645 10345671903 14779531290 17242786505 20691343806 34485573010 51728359515 103456719030