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103432302324 = 223413166714731
BaseRepresentation
bin110000001010100001…
…0111010111011110100
3100212222101010100220000
41200111002322323310
53143312132133244
6115303253111300
710321102030551
oct1402502727364
9325871110800
10103432302324
113a95792469a
1218067328530
1399a4935470
145012c39a28
152a55723169
hex18150baef4

103432302324 has 120 divisors (see below), whose sum is σ = 291386349408. Its totient is φ = 31804073280.

The previous prime is 103432302319. The next prime is 103432302349. The reversal of 103432302324 is 423203234301.

103432302324 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 32 + 302 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7014039 + ... + 7028769.

Almost surely, 2103432302324 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 103432302324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145693174704).

103432302324 is an abundant number, since it is smaller than the sum of its proper divisors (187954047084).

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

103432302324 is a wasteful number, since it uses less digits than its factorization.

103432302324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16427 (or 16416 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 103432302324 its reverse (423203234301), we get a palindrome (526635536625).

The spelling of 103432302324 in words is "one hundred three billion, four hundred thirty-two million, three hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 1667 2106 3334 4212 5001 6668 10002 14731 15003 20004 21671 29462 30006 43342 44193 45009 58924 60012 65013 86684 88386 90018 130026 132579 135027 176772 180036 191503 195039 260052 265158 270054 383006 390078 397737 530316 540108 574509 585117 766012 780156 795474 1149018 1170234 1193211 1590948 1723527 1755351 2298036 2340468 2386422 3447054 3510702 4772844 5170581 6894108 7021404 10341162 15511743 20682324 24556577 31023486 49113154 62046972 73669731 98226308 147339462 221009193 294678924 319235501 442018386 638471002 663027579 884036772 957706503 1276942004 1326055158 1915413006 1989082737 2652110316 2873119509 3830826012 3978165474 5746239018 7956330948 8619358527 11492478036 17238717054 25858075581 34477434108 51716151162 103432302324