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103434121104 = 24389103235069
BaseRepresentation
bin110000001010100100…
…1110110111110010000
3100212222111112202210020
41200111021312332100
53143313113333404
6115303400103440
710321123344246
oct1402511667620
9325874482706
10103434121104
113a958957116
1218067a64b80
1399a5121272
145013190796
152a55981ed9
hex1815276f90

103434121104 has 80 divisors (see below), whose sum is σ = 272831644800. Its totient is φ = 33759525888.

The previous prime is 103434121073. The next prime is 103434121127. The reversal of 103434121104 is 401121434301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 322482 + ... + 557550.

It is an arithmetic number, because the mean of its divisors is an integer number (3410395560).

Almost surely, 2103434121104 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 103434121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136415822400).

103434121104 is an abundant number, since it is smaller than the sum of its proper divisors (169397523696).

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

103434121104 is a wasteful number, since it uses less digits than its factorization.

103434121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235272 (or 235266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103434121104 its reverse (401121434301), we get a palindrome (504555555405).

The spelling of 103434121104 in words is "one hundred three billion, four hundred thirty-four million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 103 178 206 267 309 356 412 534 618 712 824 1068 1236 1424 1648 2136 2472 4272 4944 9167 18334 27501 36668 55002 73336 110004 146672 220008 235069 440016 470138 705207 940276 1410414 1880552 2820828 3761104 5641656 11283312 20921141 24212107 41842282 48424214 62763423 72636321 83684564 96848428 125526846 145272642 167369128 193696856 251053692 290545284 334738256 387393712 502107384 581090568 1004214768 1162181136 2154877523 4309755046 6464632569 8619510092 12929265138 17239020184 25858530276 34478040368 51717060552 103434121104