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1123113322120 = 235192692754881
BaseRepresentation
bin10000010101111110110…
…001010100011010001000
310222100221200212012001011
4100111332301110122020
5121400114002301440
62215541240133304
7144066536503216
oct20257661243210
93870850765034
101123113322120
113a3345210aa9
12161800467234
1381ba849393a
143c505053cb6
151e334be79ea
hex1057ec54688

1123113322120 has 64 divisors (see below), whose sum is σ = 2660152492800. Its totient is φ = 425577277440.

The previous prime is 1123113322109. The next prime is 1123113322127. The reversal of 1123113322120 is 212233113211.

It is a super-2 number, since 2×11231133221202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123113322091 and 1123113322100.

It is not an unprimeable number, because it can be changed into a prime (1123113322127) 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, 20437080 + ... + 20491960.

It is an arithmetic number, because the mean of its divisors is an integer number (41564882700).

Almost surely, 21123113322120 is an apocalyptic number.

1123113322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123113322120 is an abundant number, since it is smaller than the sum of its proper divisors (1537039170680).

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

1123113322120 is a wasteful number, since it uses less digits than its factorization.

1123113322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81838 (or 81834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1123113322120 its reverse (212233113211), we get a palindrome (1335346435331).

The spelling of 1123113322120 in words is "one trillion, one hundred twenty-three billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 26927 53854 54881 107708 109762 134635 215416 219524 269270 274405 439048 511613 538540 548810 1023226 1042739 1077080 1097620 2046452 2085478 2195240 2558065 4092904 4170956 5116130 5213695 8341912 10232260 10427390 20464520 20854780 41709560 1477780687 2955561374 5911122748 7388903435 11822245496 14777806870 28077833053 29555613740 56155666106 59111227480 112311332212 140389165265 224622664424 280778330530 561556661060 1123113322120