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103434344420 = 2251110135313187
BaseRepresentation
bin110000001010100101…
…0101101011111100100
3100212222111222010010012
41200111022231133210
53143313143010140
6115303404545352
710321125264311
oct1402512553744
9325874863105
10103434344420
113a958a99980
1218067b52258
1399a519bac4
14501320bd08
152a559c8265
hex18152ad7e4

103434344420 has 96 divisors (see below), whose sum is σ = 240000921216. Its totient is φ = 37131776000.

The previous prime is 103434344401. The next prime is 103434344441. The reversal of 103434344420 is 24443434301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7837067 + ... + 7850253.

It is an arithmetic number, because the mean of its divisors is an integer number (2500009596).

Almost surely, 2103434344420 is an apocalyptic number.

103434344420 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 103434344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120000460608).

103434344420 is an abundant number, since it is smaller than the sum of its proper divisors (136566576796).

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

103434344420 is a wasteful number, since it uses less digits than its factorization.

103434344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13661 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 103434344420 its reverse (24443434301), we get a palindrome (127877778721).

The spelling of 103434344420 in words is "one hundred three billion, four hundred thirty-four million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 353 404 505 706 1010 1111 1412 1765 2020 2222 3530 3883 4444 5555 7060 7766 11110 13187 15532 19415 22220 26374 35653 38830 52748 65935 71306 77660 131870 142612 145057 178265 263740 290114 356530 392183 580228 713060 725285 784366 1331887 1450570 1568732 1960915 2663774 2901140 3921830 4655011 5327548 6659435 7843660 9310022 13318870 14650757 18620044 23275055 26637740 29301514 46550110 51205121 58603028 73253785 93100220 102410242 146507570 204820484 256025605 293015140 470156111 512051210 940312222 1024102420 1880624444 2350780555 4701561110 5171717221 9403122220 10343434442 20686868884 25858586105 51717172210 103434344420