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103200221001 = 31941476311489
BaseRepresentation
bin110000000011100110…
…1100110011101001001
3100212101012102102011110
41200013031212131021
53142323224033001
6115224242520533
710312253255613
oct1400715463511
9325335372143
10103200221001
113a84891a549
1218001666149
139968827a37
144dd00a5db3
152a4017d3d6
hex1807366749

103200221001 has 64 divisors (see below), whose sum is σ = 151874150400. Its totient is φ = 62096025600.

The previous prime is 103200220999. The next prime is 103200221087. The reversal of 103200221001 is 100122002301.

It is not a de Polignac number, because 103200221001 - 21 = 103200220999 is a prime.

It is a super-2 number, since 2×1032002210012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103200221701) by changing a digit.

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, 69307665 + ... + 69309153.

It is an arithmetic number, because the mean of its divisors is an integer number (2373033600).

Almost surely, 2103200221001 is an apocalyptic number.

It is an amenable number.

103200221001 is a deficient number, since it is larger than the sum of its proper divisors (48673929399).

103200221001 is a wasteful number, since it uses less digits than its factorization.

103200221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103200221001 its reverse (100122002301), we get a palindrome (203322223302).

The spelling of 103200221001 in words is "one hundred three billion, two hundred million, two hundred twenty-one thousand, one".

Divisors: 1 3 19 41 47 57 123 141 631 779 893 1489 1893 1927 2337 2679 4467 5781 11989 25871 28291 29657 35967 36613 61049 69983 77613 84873 88971 109839 183147 209949 491549 563483 939559 1159931 1215937 1329677 1474647 1690449 2818677 2869303 3479793 3647811 3989031 8607909 17851621 23102803 38521919 44159273 53554863 54516757 69308409 115565757 132477819 163550271 731916461 839026187 1810530193 2195749383 2517078561 5431590579 34400073667 103200221001