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32111023101030 = 23354571289201893
BaseRepresentation
bin1110100110100011011100…
…01000000001010001100110
311012200210011102002111121000
413103101232020001101212
513202101333403213110
6152143333402334130
76522642041601456
oct723215610012146
9135623142074530
1032111023101030
11a260232453995
1237273b87ba346
1314bc097138433
147d0278c61d66
153aa434ae51c0
hex1d346e201466

32111023101030 has 128 divisors (see below), whose sum is σ = 85883769417600. Its totient is φ = 8537531369472.

The previous prime is 32111023101007. The next prime is 32111023101049. The reversal of 32111023101030 is 3010132011123.

32111023101030 is a `hidden beast` number, since 3 + 211 + 102 + 310 + 10 + 30 = 666.

It is a super-2 number, since 2×321110231010302 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32111023100994 and 32111023101012.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 158948764 + ... + 159150656.

It is an arithmetic number, because the mean of its divisors is an integer number (670966948575).

Almost surely, 232111023101030 is an apocalyptic number.

32111023101030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32111023101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42941884708800).

32111023101030 is an abundant number, since it is smaller than the sum of its proper divisors (53772746316570).

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

32111023101030 is a wasteful number, since it uses less digits than its factorization.

32111023101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203655 (or 203649 counting only the distinct ones).

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

Adding to 32111023101030 its reverse (3010132011123), we get a palindrome (35121155112153).

The spelling of 32111023101030 in words is "thirty-two trillion, one hundred eleven billion, twenty-three million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 457 914 1289 1371 2285 2578 2742 3867 4113 4570 6445 6855 7734 8226 11601 12339 12890 13710 19335 20565 23202 24678 34803 38670 41130 58005 61695 69606 116010 123390 174015 201893 348030 403786 589073 605679 1009465 1178146 1211358 1767219 1817037 2018930 2945365 3028395 3534438 3634074 5301657 5451111 5890730 6056790 8836095 9085185 10603314 10902222 15904971 17672190 18170370 26508285 27255555 31809942 53016570 54511110 79524855 92265101 159049710 184530202 260240077 276795303 461325505 520480154 553590606 780720231 830385909 922651010 1301200385 1383976515 1561440462 1660771818 2342160693 2491157727 2602400770 2767953030 3903601155 4151929545 4684321386 4982315454 7026482079 7807202310 8303859090 11710803465 12455788635 14052964158 23421606930 24911577270 35132410395 70264820790 118929715189 237859430378 356789145567 594648575945 713578291134 1070367436701 1189297151890 1783945727835 2140734873402 3211102310103 3567891455670 5351837183505 6422204620206 10703674367010 16055511550515 32111023101030