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10400401203312 = 243416584380263
BaseRepresentation
bin1001011101011000100000…
…1110000010000001110000
31100211021020211201212022010
42113112020032002001300
52330400010202001222
634041513420242520
72122255431411261
oct227261016020160
940737224655263
1010400401203312
11334a8703833aa
1211bb8013a0440
135a59a4939a73
1427d54c6ca968
15130811b8b80c
hex97588382070

10400401203312 has 80 divisors (see below), whose sum is σ = 27523773865728. Its totient is φ = 3382150786560.

The previous prime is 10400401203307. The next prime is 10400401203317. The reversal of 10400401203312 is 21330210400401.

It is an interprime number because it is at equal distance from previous prime (10400401203307) and next prime (10400401203317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400401203317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129538893 + ... + 129619155.

Almost surely, 210400401203312 is an apocalyptic number.

10400401203312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400401203312 is an abundant number, since it is smaller than the sum of its proper divisors (17123372662416).

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

10400401203312 is a wasteful number, since it uses less digits than its factorization.

10400401203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146158 (or 146152 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10400401203312 its reverse (21330210400401), we get a palindrome (31730611603713).

The spelling of 10400401203312 in words is "ten trillion, four hundred billion, four hundred one million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 65843 80263 131686 160526 197529 240789 263372 321052 395058 481578 526744 642104 790116 963156 1053488 1284208 1580232 1926312 2699563 3160464 3290783 3852624 5399126 6581566 8098689 9872349 10798252 13163132 16197378 19744698 21596504 26326264 32394756 39489396 43193008 52652528 64789512 78978792 129579024 157957584 5284756709 10569513418 15854270127 21139026836 31708540254 42278053672 63417080508 84556107344 126834161016 216675025069 253668322032 433350050138 650025075207 866700100276 1300050150414 1733400200552 2600100300828 3466800401104 5200200601656 10400401203312