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312123011032 = 2373139818327
BaseRepresentation
bin1001000101010111111…
…10110010111111011000
31002211122101111210111201
410202223332302333120
520103211442323112
6355215355203544
731356461551000
oct4425376627730
91084571453451
10312123011032
11110409336988
12505a94465b4
1323582602a11
141116d221000
1581bbb2c257
hex48abfb2fd8

312123011032 has 64 divisors (see below), whose sum is σ = 687395520000. Its totient is φ = 132804489888.

The previous prime is 312123011029. The next prime is 312123011051. The reversal of 312123011032 is 230110321213.

It is a congruent number.

It is an unprimeable number.

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, 27748 + ... + 790579.

It is an arithmetic number, because the mean of its divisors is an integer number (10740555000).

Almost surely, 2312123011032 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 312123011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343697760000).

312123011032 is an abundant number, since it is smaller than the sum of its proper divisors (375272508968).

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

312123011032 is a wasteful number, since it uses less digits than its factorization.

312123011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818493 (or 818475 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312123011032 its reverse (230110321213), we get a palindrome (542233332245).

The spelling of 312123011032 in words is "three hundred twelve billion, one hundred twenty-three million, eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 139 196 278 343 392 556 686 973 1112 1372 1946 2744 3892 6811 7784 13622 27244 47677 54488 95354 190708 381416 818327 1636654 3273308 5728289 6546616 11456578 22913156 40098023 45826312 80196046 113747453 160392092 227494906 280686161 320784184 454989812 561372322 796232171 909979624 1122744644 1592464342 2245489288 3184928684 5573625197 6369857368 11147250394 22294500788 39015376379 44589001576 78030752758 156061505516 312123011032