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103323604608 = 2732721830421
BaseRepresentation
bin110000000111010010…
…0010001011010000000
3100212200210120221122200
41200032210101122000
53143101320321413
6115244411233200
710315312101600
oct1401644213200
9325623527580
10103323604608
113a901532474
1218036a48800
139988267aa3
145002622c00
152a4ae01573
hex180e911680

103323604608 has 144 divisors (see below), whose sum is σ = 345867389010. Its totient is φ = 29521013760.

The previous prime is 103323604589. The next prime is 103323604609. The reversal of 103323604608 is 806406323301.

103323604608 is a `hidden beast` number, since 10 + 3 + 3 + 2 + 36 + 0 + 4 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58444029504 + 44879575104 = 241752^2 + 211848^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103323604609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 858763 + ... + 971658.

Almost surely, 2103323604608 is an apocalyptic number.

103323604608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103323604608 is an abundant number, since it is smaller than the sum of its proper divisors (242543784402).

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

103323604608 is a wasteful number, since it uses less digits than its factorization.

103323604608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830455 (or 1830433 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 103323604608 its reverse (806406323301), we get a palindrome (909729927909).

The spelling of 103323604608 in words is "one hundred three billion, three hundred twenty-three million, six hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 1830421 3660842 5491263 7321684 10982526 12812947 14643368 16473789 21965052 25625894 29286736 32947578 38438841 43930104 51251788 58573472 65895156 76877682 87860208 89690629 102503576 115316523 117146944 131790312 153755364 175720416 179381258 205007152 230633046 234293888 263580624 269071887 307510728 351440832 358762516 410014304 461266092 527161248 538143774 615021456 702881664 717525032 807215661 820028608 922532184 1054322496 1076287548 1230042912 1435050064 1614431322 1640057216 1845064368 2108644992 2152575096 2460085824 2870100128 3228862644 3690128736 4305150192 4920171648 5740200256 6457725288 7380257472 8610300384 11480400512 12915450576 14760514944 17220600768 25830901152 34441201536 51661802304 103323604608