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1100010212120 = 235431318635657
BaseRepresentation
bin10000000000011101101…
…101111100101100011000
310220011022121021121010102
4100000131231330230120
5121010310103241440
62201200540234532
7142321164346331
oct20003555745430
93804277247112
101100010212120
1139456a0a6566
1215923323ba48
137c965c42551
143b3529a5288
151d93181bb15
hex1001db7cb18

1100010212120 has 128 divisors (see below), whose sum is σ = 2555322992640. Its totient is φ = 425921233920.

The previous prime is 1100010212113. The next prime is 1100010212141. The reversal of 1100010212120 is 212120100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194448332 + ... + 194453988.

It is an arithmetic number, because the mean of its divisors is an integer number (19963460880).

Almost surely, 21100010212120 is an apocalyptic number.

1100010212120 is a gapful number since it is divisible by the number (10) 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 1100010212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277661496320).

1100010212120 is an abundant number, since it is smaller than the sum of its proper divisors (1455312780520).

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

1100010212120 is a wasteful number, since it uses less digits than its factorization.

1100010212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100010212120 its reverse (212120100011), we get a palindrome (1312130312131).

The spelling of 1100010212120 in words is "one trillion, one hundred billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 131 172 215 262 344 430 524 655 860 863 1048 1310 1720 1726 2620 3452 4315 5240 5633 5657 6904 8630 11266 11314 17260 22532 22628 28165 28285 34520 37109 45064 45256 56330 56570 74218 112660 113053 113140 148436 185545 225320 226106 226280 243251 296872 371090 452212 486502 565265 741067 742180 904424 973004 1130530 1216255 1482134 1484360 1946008 2261060 2432510 2964268 3705335 4522120 4861279 4865020 4881991 5928536 7410670 9722558 9730040 9763982 14821340 19445116 19527964 24306395 24409955 29642680 31865881 38890232 39055928 48612790 48819910 63731762 97225580 97639820 127463524 159329405 194451160 195279640 209925613 254927048 318658810 419851226 637317620 639540821 839702452 1049628065 1274635240 1279081642 1679404904 2099256130 2558163284 3197704105 4198512260 5116326568 6395408210 8397024520 12790816420 25581632840 27500255303 55000510606 110001021212 137501276515 220002042424 275002553030 550005106060 1100010212120