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103938692352 = 2831112303349
BaseRepresentation
bin110000011001100111…
…0101001010100000000
3100221021122222122102020
41200303032221110000
53200331301123402
6115425422521440
710336461210405
oct1406316512400
9327248878366
10103938692352
1140097755a50
1218188a36280
139a55816c31
1450601b62ac
152a84dee8bc
hex18333a9500

103938692352 has 72 divisors (see below), whose sum is σ = 301776568800. Its totient is φ = 31496570880.

The previous prime is 103938692327. The next prime is 103938692357. The reversal of 103938692352 is 253296839301.

It is a junction number, because it is equal to n+sod(n) for n = 103938692295 and 103938692304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103938692357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6143227 + ... + 6160122.

Almost surely, 2103938692352 is an apocalyptic number.

103938692352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103938692352 is an abundant number, since it is smaller than the sum of its proper divisors (197837876448).

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

103938692352 is a wasteful number, since it uses less digits than its factorization.

103938692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303379 (or 12303365 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 103938692352 in words is "one hundred three billion, nine hundred thirty-eight million, six hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 12303349 24606698 36910047 49213396 73820094 98426792 135336839 147640188 196853584 270673678 295280376 393707168 406010517 541347356 590560752 787414336 812021034 1082694712 1181121504 1574828672 1624042068 2165389424 2362243008 3149657344 3248084136 4330778848 4724486016 6496168272 8661557696 9448972032 12992336544 17323115392 25984673088 34646230784 51969346176 103938692352