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13130331200 = 265271172351
BaseRepresentation
bin11000011101010000…
…01111010001000000
31020220002000221020222
430032220033101000
5203342331044300
610010524322212
7643244654660
oct141650172100
936802027228
1013130331200
115628803198
1226653a3368
1313133a515c
148c7bb41a0
1551cae8785
hex30ea0f440

13130331200 has 84 divisors (see below), whose sum is σ = 36924398592. Its totient is φ = 4501824000.

The previous prime is 13130331199. The next prime is 13130331209. The reversal of 13130331200 is 213303131.

It is not an unprimeable number, because it can be changed into a prime (13130331209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574976 + ... + 597375.

Almost surely, 213130331200 is an apocalyptic number.

13130331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130331200 is an abundant number, since it is smaller than the sum of its proper divisors (23794067392).

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

13130331200 is a wasteful number, since it uses less digits than its factorization.

13130331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172380 (or 1172365 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13130331200 its reverse (213303131), we get a palindrome (13343634331).

The spelling of 13130331200 in words is "thirteen billion, one hundred thirty million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 1172351 2344702 4689404 5861755 8206457 9378808 11723510 16412914 18757616 23447020 29308775 32825828 37515232 41032285 46894040 58617550 65651656 75030464 82064570 93788080 117235100 131303312 164129140 187576160 205161425 234470200 262606624 328258280 375152320 410322850 468940400 525213248 656516560 820645700 937880800 1313033120 1641291400 1875761600 2626066240 3282582800 6565165600 13130331200