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103433525104 = 247131732831451
BaseRepresentation
bin110000001010100011…
…1100101011101110000
3100212222110102111020011
41200111013211131300
53143312440300404
6115303335224304
710321115312530
oct1402507453560
9325873374204
10103433525104
113a95858a358
1218067818094
1399a4c72bc0
1450130774c0
152a558b5604
hex18151e5770

103433525104 has 160 divisors (see below), whose sum is σ = 249123055104. Its totient is φ = 40510540800.

The previous prime is 103433525077. The next prime is 103433525177. The reversal of 103433525104 is 401525334301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 71283579 + ... + 71285029.

Almost surely, 2103433525104 is an apocalyptic number.

103433525104 is a gapful number since it is divisible by the number (14) 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 103433525104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124561527552).

103433525104 is an abundant number, since it is smaller than the sum of its proper divisors (145689530000).

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

103433525104 is a wasteful number, since it uses less digits than its factorization.

103433525104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 103433525104 its reverse (401525334301), we get a palindrome (504958859405).

The spelling of 103433525104 in words is "one hundred three billion, four hundred thirty-three million, five hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 173 182 208 283 346 364 566 692 728 1132 1211 1384 1451 1456 1981 2249 2264 2422 2768 2902 3679 3962 4498 4528 4844 5804 7358 7924 8996 9688 10157 11608 14716 15743 15848 17992 18863 19376 20314 23216 25753 29432 31486 31696 35984 37726 40628 48959 51506 58864 62972 75452 81256 97918 103012 125944 132041 150904 162512 195836 206024 251023 251888 264082 301808 342713 391672 410633 412048 502046 528164 636467 685426 783344 821266 1004092 1056328 1272934 1370852 1642532 1757161 2008184 2112656 2545868 2741704 2874431 3263299 3285064 3514322 4016368 4455269 5091736 5338229 5483408 5748862 6526598 6570128 7028644 8910538 10183472 10676458 11497724 13053196 14057288 17821076 21352916 22843093 22995448 26106392 28114576 35642152 37367603 42705832 45686186 45990896 52212784 71039509 71284304 74735206 85411664 91372372 142079018 149470412 182744744 284158036 298940824 365489488 497276563 568316072 597881648 923513617 994553126 1136632144 1847027234 1989106252 3694054468 3978212504 6464595319 7388108936 7956425008 12929190638 14776217872 25858381276 51716762552 103433525104