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103420413234 = 23229541366217
BaseRepresentation
bin110000001010001010…
…1100100010100110010
3100212221112202100010100
41200110111210110302
53143301111210414
6115302150213230
710320566002515
oct1402425442462
9325845670110
10103420413234
113a9511441a6
1218063354216
1399a2331ab8
145011422d7c
152a54675609
hex1814564532

103420413234 has 48 divisors (see below), whose sum is σ = 232233482520. Its totient is φ = 33223115520.

The previous prime is 103420413233. The next prime is 103420413251. The reversal of 103420413234 is 432314024301.

103420413234 is a `hidden beast` number, since 1 + 0 + 3 + 420 + 4 + 1 + 3 + 234 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92265885009 + 11154528225 = 303753^2 + 105615^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103420413198 and 103420413207.

It is not an unprimeable number, because it can be changed into a prime (103420413233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99294 + ... + 465510.

Almost surely, 2103420413234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103420413234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116116741260).

103420413234 is an abundant number, since it is smaller than the sum of its proper divisors (128813069286).

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

103420413234 is a wasteful number, since it uses less digits than its factorization.

103420413234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366795 (or 366792 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103420413234 its reverse (432314024301), we get a palindrome (535734437535).

The spelling of 103420413234 in words is "one hundred three billion, four hundred twenty million, four hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 541 1082 1623 3246 4869 9738 15689 31378 47067 94134 141201 282402 366217 732434 1098651 2197302 3295953 6591906 10620293 21240586 31860879 63721758 95582637 191165274 198123397 396246794 594370191 1188740382 1783110573 3566221146 5745578513 11491157026 17236735539 34473471078 51710206617 103420413234