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1121132030031 = 32131719271109471
BaseRepresentation
bin10000010100001000101…
…011010010100001001111
310222011211121201010020200
4100110020223102201033
5121332034244430111
62215012502144543
7143666461006356
oct20241053224117
93864747633220
101121132030031
113a2518891a22
12161348a22153
1381950b69860
143c397c6899d
151e26accd256
hex10508ad284f

1121132030031 has 96 divisors (see below), whose sum is σ = 1950948679680. Its totient is φ = 612891878400.

The previous prime is 1121132029999. The next prime is 1121132030041. The reversal of 1121132030031 is 1300302311211.

1121132030031 is a `hidden beast` number, since 1 + 1 + 2 + 11 + 320 + 300 + 31 = 666.

It is not a de Polignac number, because 1121132030031 - 25 = 1121132029999 is a prime.

It is a super-2 number, since 2×11211320300312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121132029986 and 1121132030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121132030041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10186626 + ... + 10296096.

It is an arithmetic number, because the mean of its divisors is an integer number (20322382080).

Almost surely, 21121132030031 is an apocalyptic number.

1121132030031 is a deficient number, since it is larger than the sum of its proper divisors (829816649649).

1121132030031 is a wasteful number, since it uses less digits than its factorization.

1121132030031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109797 (or 109794 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1121132030031 its reverse (1300302311211), we get a palindrome (2421434341242).

The spelling of 1121132030031 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, thirty thousand, thirty-one".

Divisors: 1 3 9 13 17 19 39 51 57 117 153 171 221 247 271 323 663 741 813 969 1989 2223 2439 2907 3523 4199 4607 5149 10569 12597 13821 15447 31707 37791 41463 46341 59891 66937 87533 109471 179673 200811 262599 328413 539019 602433 787797 985239 1137929 1423123 1861007 2079949 3413787 4269369 5583021 6239847 10241361 12808107 16749063 18719541 24193091 27039337 29666641 35359133 72579273 81118011 88999923 106077399 217737819 243354033 266999769 318232197 385666333 459668729 504332897 563666179 1156998999 1379006187 1512998691 1690998537 3470996997 4137018561 4538996073 5072995611 6556327661 7327660327 9582325043 19668982983 21982980981 28746975129 59006948949 65948942943 86240925387 124570225559 373710676677 1121132030031