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2131273296 = 24354011367
BaseRepresentation
bin111111100001000…
…1010011001010000
312111112100220100000
41333002022121100
513331101221141
6551252330000
7103546344525
oct17702123120
95445326300
102131273296
119a4059199
124b5913900
1327c71a579
141630ab14c
15c71935b6
hex7f08a650

2131273296 has 120 divisors (see below), whose sum is σ = 6205477824. Its totient is φ = 708134400.

The previous prime is 2131273279. The next prime is 2131273303. The reversal of 2131273296 is 6923721312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2131273296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558405 + ... + 1559771.

Almost surely, 22131273296 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 2131273296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102738912).

2131273296 is an abundant number, since it is smaller than the sum of its proper divisors (4074204528).

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

2131273296 is a wasteful number, since it uses less digits than its factorization.

2131273296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1773 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2131273296 is about 46165.7155906848. The cubic root of 2131273296 is about 1286.9046826567.

The spelling of 2131273296 in words is "two billion, one hundred thirty-one million, two hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 401 432 486 648 802 972 1203 1296 1367 1604 1944 2406 2734 3208 3609 3888 4101 4812 5468 6416 7218 8202 9624 10827 10936 12303 14436 16404 19248 21654 21872 24606 28872 32481 32808 36909 43308 49212 57744 64962 65616 73818 86616 97443 98424 110727 129924 147636 173232 194886 196848 221454 259848 295272 332181 389772 442908 519696 548167 590544 664362 779544 885816 1096334 1328724 1559088 1644501 1771632 2192668 2657448 3289002 4385336 4933503 5314896 6578004 8770672 9867006 13156008 14800509 19734012 26312016 29601018 39468024 44401527 59202036 78936048 88803054 118404072 133204581 177606108 236808144 266409162 355212216 532818324 710424432 1065636648 2131273296