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1112010122100 = 2235241337268271
BaseRepresentation
bin10000001011101000111…
…101111110001101110100
310221022021220020011222210
4100023220331332031310
5121204344042401400
62210503404053420
7143224435036533
oct20135075761564
93838256204883
101112010122100
113996677a6539
1215b621b34270
1380b290750b7
143bb7059c31a
151ddd5070950
hex102e8f7e374

1112010122100 has 144 divisors (see below), whose sum is σ = 3305681922816. Its totient is φ = 288443904000.

The previous prime is 1112010122099. The next prime is 1112010122149. The reversal of 1112010122100 is 12210102111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4010965 + ... + 4279235.

It is an arithmetic number, because the mean of its divisors is an integer number (22956124464).

Almost surely, 21112010122100 is an apocalyptic number.

1112010122100 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 1112010122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652840961408).

1112010122100 is an abundant number, since it is smaller than the sum of its proper divisors (2193671800716).

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

1112010122100 is a wasteful number, since it uses less digits than its factorization.

1112010122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268666 (or 268659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1112010122100 its reverse (12210102111), we get a palindrome (1124220224211).

The spelling of 1112010122100 in words is "one trillion, one hundred twelve billion, ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 337 410 492 615 674 820 1011 1025 1230 1348 1685 2022 2050 2460 3075 3370 4044 4100 5055 6150 6740 8425 10110 12300 13817 16850 20220 25275 27634 33700 41451 50550 55268 69085 82902 101100 138170 165804 207255 268271 276340 345425 414510 536542 690850 804813 829020 1036275 1073084 1341355 1381700 1609626 2072550 2682710 3219252 4024065 4145100 5365420 6706775 8048130 10999111 13413550 16096260 20120325 21998222 26827100 32997333 40240650 43996444 54995555 65994666 80481300 90407327 109991110 131989332 164986665 180814654 219982220 271221981 274977775 329973330 361629308 452036635 542443962 549955550 659946660 824933325 904073270 1084887924 1099911100 1356109905 1649866650 1808146540 2260183175 2712219810 3299733300 3706700407 4520366350 5424439620 6780549525 7413400814 9040732700 11120101221 13561099050 14826801628 18533502035 22240202442 27122198100 37067004070 44480404884 55600506105 74134008140 92667510175 111201012210 185335020350 222402024420 278002530525 370670040700 556005061050 1112010122100