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100312432430 = 2577327777069
BaseRepresentation
bin101110101101100010…
…1100011111100101110
3100120220221112112222012
41131123011203330232
53120414440314210
6114025523321222
710150556415140
oct1353305437456
9316827475865
10100312432430
11395a6831221
1217536520212
1395c84712c2
144bd874cc90
1529218a2305
hex175b163f2e

100312432430 has 64 divisors (see below), whose sum is σ = 209288741760. Its totient is φ = 33904687104.

The previous prime is 100312432393. The next prime is 100312432463. The reversal of 100312432430 is 34234213001.

It is a junction number, because it is equal to n+sod(n) for n = 100312432396 and 100312432405.

It is a congruent number.

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, 14186936 + ... + 14194004.

It is an arithmetic number, because the mean of its divisors is an integer number (3270136590).

Almost surely, 2100312432430 is an apocalyptic number.

100312432430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100312432430 is an abundant number, since it is smaller than the sum of its proper divisors (108976309330).

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

100312432430 is a wasteful number, since it uses less digits than its factorization.

100312432430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 100312432430 its reverse (34234213001), we get a palindrome (134546645431).

The spelling of 100312432430 in words is "one hundred billion, three hundred twelve million, four hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 73 146 365 511 730 1022 2555 2777 5110 5554 7069 13885 14138 19439 27770 35345 38878 49483 70690 97195 98966 194390 202721 247415 405442 494830 516037 1013605 1032074 1419047 2027210 2580185 2838094 3612259 5160370 7095235 7224518 14190470 18061295 19630613 36122590 39261226 98153065 137414291 196306130 274828582 687071455 1374142910 1433034749 2866069498 7165173745 10031243243 14330347490 20062486486 50156216215 100312432430