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1122114572772 = 2238310912138521
BaseRepresentation
bin10000010101000011001…
…111011001000111100100
310222021101002112110111120
4100111003033121013210
5121341042312312042
62215254201333540
7144033021331434
oct20250317310744
93867332473446
101122114572772
113a2982471916
12161581a972b0
1381a795a3aab
143c44c5502c4
151e2c71b1dec
hex105433d91e4

1122114572772 has 96 divisors (see below), whose sum is σ = 2676641573760. Its totient is φ = 365796725760.

The previous prime is 1122114572771. The next prime is 1122114572779. The reversal of 1122114572772 is 2772754112211.

It is a happy number.

It is a super-2 number, since 2×11221145727722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122114572771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131683872 + ... + 131692392.

It is an arithmetic number, because the mean of its divisors is an integer number (27881683060).

Almost surely, 21122114572772 is an apocalyptic number.

1122114572772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122114572772 is an abundant number, since it is smaller than the sum of its proper divisors (1554527000988).

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

1122114572772 is a wasteful number, since it uses less digits than its factorization.

1122114572772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9931 counting only the distinct ones).

The product of its digits is 109760, while the sum is 42.

Adding to 1122114572772 its reverse (2772754112211), we get a palindrome (3894868684983).

The spelling of 1122114572772 in words is "one trillion, one hundred twenty-two billion, one hundred fourteen million, five hundred seventy-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 83 109 166 218 249 327 332 436 498 654 996 1213 1308 2426 3639 4852 7278 8521 9047 14556 17042 18094 25563 27141 34084 36188 51126 54282 100679 102252 108564 132217 201358 264434 302037 396651 402716 528868 604074 707243 793302 928789 1208148 1414486 1586604 1857578 2121729 2786367 2828972 3715156 4243458 5572734 8486916 10335973 10974011 11145468 20671946 21948022 31007919 32922033 41343892 43896044 62015838 65844066 77089487 124031676 131688132 154178974 231268461 308357948 462536922 857885759 925073844 1126621057 1715771518 2253242114 2573657277 3379863171 3431543036 4506484228 5147314554 6759726342 10294629108 13519452684 93509547731 187019095462 280528643193 374038190924 561057286386 1122114572772