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103401000784 = 24191636313307
BaseRepresentation
bin110000001001100101…
…1100000111101010000
3100212220012020002020201
41200103023200331100
53143231124011114
6115300214144544
710320242001454
oct1402313407520
9325805202221
10103401000784
113a941195354
1218058952154
13999b2c5c43
14500ca0c664
152a52add874
hex18132e0f50

103401000784 has 80 divisors (see below), whose sum is σ = 212577902080. Its totient is φ = 48587091840.

The previous prime is 103401000767. The next prime is 103401000797. The reversal of 103401000784 is 487000104301.

It is a super-2 number, since 2×1034010007842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31265659 + ... + 31268965.

It is an arithmetic number, because the mean of its divisors is an integer number (2657223776).

Almost surely, 2103401000784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103401000784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106288951040).

103401000784 is an abundant number, since it is smaller than the sum of its proper divisors (109176901296).

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

103401000784 is a wasteful number, since it uses less digits than its factorization.

103401000784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 103401000784 in words is "one hundred three billion, four hundred one million, seven hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 38 76 152 163 304 326 631 652 1262 1304 2524 2608 3097 3307 5048 6194 6614 10096 11989 12388 13228 23978 24776 26456 47956 49552 52912 62833 95912 102853 125666 191824 205706 251332 411412 502664 539041 822824 1005328 1078082 1645648 1954207 2086717 2156164 3908414 4173434 4312328 7816828 8346868 8624656 10241779 15633656 16693736 20483558 31267312 33387472 39647623 40967116 79295246 81934232 158590492 163868464 317180984 340134871 634361968 680269742 1360539484 2721078968 5442157936 6462562549 12925125098 25850250196 51700500392 103401000784