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103201441640 = 2351189229611
BaseRepresentation
bin110000000011101001…
…0010000011101101000
3100212101021201102120022
41200013102100131220
53142324032113030
6115224325020012
710312266531413
oct1400722203550
9325337642508
10103201441640
113a849583640
1218001b54608
139968b644cb
144dd0302b7a
152a4031ede5
hex1807490768

103201441640 has 96 divisors (see below), whose sum is σ = 256199470560. Its totient is φ = 37104883200.

The previous prime is 103201441639. The next prime is 103201441703. The reversal of 103201441640 is 46144102301.

It is a happy number.

103201441640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3470435 + ... + 3500045.

It is an arithmetic number, because the mean of its divisors is an integer number (2668744485).

Almost surely, 2103201441640 is an apocalyptic number.

103201441640 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 103201441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128099735280).

103201441640 is an abundant number, since it is smaller than the sum of its proper divisors (152998028920).

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

103201441640 is a wasteful number, since it uses less digits than its factorization.

103201441640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29811 (or 29718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 103201441640 its reverse (46144102301), we get a palindrome (149345543941).

The spelling of 103201441640 in words is "one hundred three billion, two hundred one million, four hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 7832 7921 9790 15842 19580 29611 31684 39160 39605 59222 63368 79210 87131 118444 148055 158420 174262 236888 296110 316840 325721 348524 435655 592220 651442 697048 871310 1184440 1302884 1628605 1742620 2605768 2635379 3257210 3485240 5270758 6514420 10541516 13028840 13176895 21083032 26353790 28989169 52707580 57978338 105415160 115956676 144945845 231913352 234548731 289891690 469097462 579783380 938194924 1159566760 1172743655 1876389848 2345487310 2580036041 4690974620 5160072082 9381949240 10320144164 12900180205 20640288328 25800360410 51600720820 103201441640