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1111033311312 = 243234367349313
BaseRepresentation
bin10000001010101110101…
…111101111000001010000
310221012202211012001111110
4100022232233233001100
5121200344011430222
62210222431413320
7143161304216631
oct20125657570120
93835684161443
101111033311312
113992063810a1
1215b3aa984240
1380a01896b52
143baba969888
151dd7942030c
hex102aebef050

1111033311312 has 160 divisors (see below), whose sum is σ = 3110358924288. Its totient is φ = 340839088128.

The previous prime is 1111033311299. The next prime is 1111033311313. The reversal of 1111033311312 is 2131133301111.

It is a super-2 number, since 2×11110333113122 (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 (1111033311313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005968 + ... + 3355280.

Almost surely, 21111033311312 is an apocalyptic number.

1111033311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111033311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555179462144).

1111033311312 is an abundant number, since it is smaller than the sum of its proper divisors (1999325612976).

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

1111033311312 is a wasteful number, since it uses less digits than its factorization.

1111033311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349457 (or 349451 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1111033311312 its reverse (2131133301111), we get a palindrome (3242166612423).

The spelling of 1111033311312 in words is "one trillion, one hundred eleven billion, thirty-three million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 67 69 86 92 129 134 138 172 184 201 258 268 276 344 368 402 516 536 552 688 804 989 1032 1072 1104 1541 1608 1978 2064 2881 2967 3082 3216 3956 4623 5762 5934 6164 7912 8643 9246 11524 11868 12328 15824 17286 18492 23048 23736 24656 34572 36984 46096 47472 66263 69144 73968 132526 138288 198789 265052 349313 397578 530104 698626 795156 1047939 1060208 1397252 1590312 2095878 2794504 3180624 4191756 5589008 8034199 8383512 15020459 16068398 16767024 23403971 24102597 30040918 32136796 45061377 46807942 48205194 60081836 64273592 70211913 90122754 93615884 96410388 120163672 128547184 140423826 180245508 187231768 192820776 240327344 280847652 345470557 360491016 374463536 385641552 538291333 561695304 690941114 720982032 1006370753 1036411671 1076582666 1123390608 1381882228 1614873999 2012741506 2072823342 2153165332 2763764456 3019112259 3229747998 4025483012 4145646684 4306330664 5527528912 6038224518 6459495996 8050966024 8291293368 8612661328 12076449036 12918991992 16101932048 16582586736 23146527319 24152898072 25837983984 46293054638 48305796144 69439581957 92586109276 138879163914 185172218552 277758327828 370344437104 555516655656 1111033311312