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1121992641 = 34721131829
BaseRepresentation
bin100001011100000…
…0011111111000001
32220012020010120000
41002320003333001
54244212231031
6303200110213
736542531400
oct10270037701
92805203500
101121992641
11526376750
12273905369
1314b5b1093
14a9025637
156877c3e6
hex42e03fc1

1121992641 has 120 divisors (see below), whose sum is σ = 2198211840. Its totient is φ = 563371200.

The previous prime is 1121992621. The next prime is 1121992643. The reversal of 1121992641 is 1462991211.

It is a happy number.

1121992641 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 9 + 9 + 2 + 641 = 666.

It is not a de Polignac number, because 1121992641 - 25 = 1121992609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121992596 and 1121992605.

It is not an unprimeable number, because it can be changed into a prime (1121992643) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1353015 + ... + 1353843.

It is an arithmetic number, because the mean of its divisors is an integer number (18318432).

Almost surely, 21121992641 is an apocalyptic number.

1121992641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121992641 is a deficient number, since it is larger than the sum of its proper divisors (1076219199).

1121992641 is a wasteful number, since it uses less digits than its factorization.

1121992641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 881 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1121992641 is about 33496.1586006515. The cubic root of 1121992641 is about 1039.1143350466.

The spelling of 1121992641 in words is "one billion, one hundred twenty-one million, nine hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 3 7 9 11 21 27 31 33 49 63 77 81 93 99 147 189 217 231 279 297 341 441 539 567 651 693 829 837 891 1023 1323 1519 1617 1953 2079 2387 2487 2511 3069 3969 4557 4851 5803 5859 6237 7161 7461 9119 9207 13671 14553 16709 17409 17577 21483 22383 25699 27357 27621 40621 41013 43659 50127 52227 63833 64449 67149 77097 82071 121863 123039 150381 156681 179893 191499 193347 231291 246213 282689 365589 446831 451143 470043 539679 574497 693873 738639 848067 1096767 1259251 1340493 1353429 1619037 1723491 1978823 2081619 2544201 3290301 3777753 4021479 4857111 5170473 5936469 7632603 11333259 12064437 13851761 14571333 17809407 22897809 33999777 36193311 41555283 53428221 101999331 124665849 160284663 373997547 1121992641