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2000232101312 = 26732116593079
BaseRepresentation
bin11101000110110111000…
…111111011010111000000
321002012221121120211002222
4131012313013323113000
5230232433404220222
64130521031430212
7264340421222204
oct35066707732700
97065847524088
102000232101312
11701325969a55
122837a9825368
1311680c67ac23
146cb5162ab04
153706d578542
hex1d1b71fb5c0

2000232101312 has 112 divisors (see below), whose sum is σ = 4050101932800. Its totient is φ = 979932764160.

The previous prime is 2000232101311. The next prime is 2000232101341. The reversal of 2000232101312 is 2131012320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000232101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649635389 + ... + 649638467.

It is an arithmetic number, because the mean of its divisors is an integer number (36161624400).

Almost surely, 22000232101312 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 2000232101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025050966400).

2000232101312 is an abundant number, since it is smaller than the sum of its proper divisors (2049869831488).

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

2000232101312 is a wasteful number, since it uses less digits than its factorization.

2000232101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2000232101312 its reverse (2131012320002), we get a palindrome (4131244421314).

The spelling of 2000232101312 in words is "two trillion, two hundred thirty-two million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 146 211 292 422 584 659 844 1168 1318 1688 2336 2636 3079 3376 4672 5272 6158 6752 10544 12316 13504 15403 21088 24632 30806 42176 48107 49264 61612 96214 98528 123224 139049 192428 197056 224767 246448 278098 384856 449534 492896 556196 649669 769712 899068 985792 1112392 1299338 1539424 1798136 2029061 2224784 2598676 3078848 3596272 4058122 4449568 5197352 7192544 8116244 8899136 10150577 10394704 14385088 16232488 20301154 20789408 32464976 40602308 41578816 47425837 64929952 81204616 94851674 129859904 148121453 162409232 189703348 296242906 324818464 379406696 428131871 592485812 649636928 758813392 856263742 1184971624 1517626784 1712527484 2369943248 3035253568 3425054968 4739886496 6850109936 9479772992 13700219872 27400439744 31253626583 62507253166 125014506332 250029012664 500058025328 1000116050656 2000232101312