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1032212111112 = 2332721322505933
BaseRepresentation
bin11110000010101001010…
…00101101111100001000
310122200022122012012211100
433001110220231330020
5113402432300023422
62110105223501400
7134401115115300
oct17012450557410
93580278165740
101032212111112
11368838910826
121480718b7860
137644ca42a10
1437d605a2600
151bcb46a07ac
hexf054a2df08

1032212111112 has 144 divisors (see below), whose sum is σ = 3502148389740. Its totient is φ = 272231753472.

The previous prime is 1032212111111. The next prime is 1032212111113. The reversal of 1032212111112 is 2111112122301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1032212111111) and next prime (1032212111113).

It can be written as a sum of positive squares in 2 ways, for example, as 960701863716 + 71510247396 = 980154^2 + 267414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1032212111111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11207103 + ... + 11298830.

Almost surely, 21032212111112 is an apocalyptic number.

1032212111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1032212111112 is an abundant number, since it is smaller than the sum of its proper divisors (2469936278628).

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

1032212111112 is a wasteful number, since it uses less digits than its factorization.

1032212111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22505972 (or 22505958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1032212111112 its reverse (2111112122301), we get a palindrome (3143324233413).

The spelling of 1032212111112 in words is "one trillion, thirty-two billion, two hundred twelve million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 22505933 45011866 67517799 90023732 135035598 157541531 180047464 202553397 270071196 292577129 315083062 405106794 472624593 540142392 585154258 630166124 810213588 877731387 945249186 1102790717 1170308516 1260332248 1417873779 1620427176 1755462774 1890498372 2048039903 2205581434 2340617032 2633194161 2835747558 3308372151 3510925548 3780996744 4096079806 4411162868 5266388322 5671495116 6144119709 6616744302 7021851096 8192159612 8822325736 9925116453 10532776644 11342990232 12288239418 13233488604 14336279321 16384319224 18432359127 19850232906 21065553288 24576478836 26466977208 28672558642 36864718254 39700465812 43008837963 49152957672 57345117284 73729436508 79400931624 86017675926 114690234568 129026513889 147458873016 172035351852 258053027778 344070703704 516106055556 1032212111112