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1101341333312 = 261110315799619
BaseRepresentation
bin10000000001101101000…
…011110001011101000000
310220021202101000120010022
4100001231003301131000
5121021021340131222
62201541010553012
7142366156605203
oct20015503613500
93807671016108
101101341333312
1139509251a620
12159544b98768
137cb1895591c
143b43b6a793a
151d9ad608042
hex1006d0f1740

1101341333312 has 112 divisors (see below), whose sum is σ = 2409075801600. Its totient is φ = 495383938560.

The previous prime is 1101341333221. The next prime is 1101341333317. The reversal of 1101341333312 is 2133331431011.

It is a happy number.

It is a super-2 number, since 2×11013413333122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101341333317) 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, 114491639 + ... + 114501257.

Almost surely, 21101341333312 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 1101341333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204537900800).

1101341333312 is an abundant number, since it is smaller than the sum of its proper divisors (1307734468288).

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

1101341333312 is a wasteful number, since it uses less digits than its factorization.

1101341333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11324 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 1101341333312 its reverse (2133331431011), we get a palindrome (3234672764323).

The spelling of 1101341333312 in words is "one trillion, one hundred one billion, three hundred forty-one million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 176 206 352 412 704 824 1133 1579 1648 2266 3158 3296 4532 6316 6592 9064 9619 12632 17369 18128 19238 25264 34738 36256 38476 50528 69476 72512 76952 101056 105809 138952 153904 162637 211618 277904 307808 325274 423236 555808 615616 650548 846472 990757 1111616 1301096 1692944 1789007 1981514 2602192 3385888 3578014 3963028 5204384 6771776 7156028 7926056 10408768 10898327 14312056 15188401 15852112 21796654 28624112 30376802 31704224 43593308 57248224 60753604 63408448 87186616 114496448 121507208 167072411 174373232 243014416 334144822 348746464 486028832 668289644 697492928 972057664 1336579288 1564405303 2673158576 3128810606 5346317152 6257621212 10692634304 12515242424 17208458333 25030484848 34416916666 50060969696 68833833332 100121939392 137667666664 275335333328 550670666656 1101341333312