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1110032002100 = 2252711711354193
BaseRepresentation
bin10000001001110011000…
…100000010110000110100
310221010012001001021111002
4100021303010002300310
5121141321143031400
62205535222102432
7143124425224040
oct20116304026064
93833161037432
101110032002100
1139884214371a
1215b16b57aa18
13808a22bbaa8
143ba2399b020
151dd1b580ed5
hex10273102c34

1110032002100 has 72 divisors (see below), whose sum is σ = 2755232278848. Its totient is φ = 380257113600.

The previous prime is 1110032002097. The next prime is 1110032002153. The reversal of 1110032002100 is 12002300111.

It is a super-2 number, since 2×11100320021002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142604 + ... + 1496796.

It is an arithmetic number, because the mean of its divisors is an integer number (38267114984).

Almost surely, 21110032002100 is an apocalyptic number.

1110032002100 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 1110032002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377616139424).

1110032002100 is an abundant number, since it is smaller than the sum of its proper divisors (1645200276748).

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

1110032002100 is a wasteful number, since it uses less digits than its factorization.

1110032002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355385 (or 1355378 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1110032002100 its reverse (12002300111), we get a palindrome (1122034302211).

The spelling of 1110032002100 in words is "one trillion, one hundred ten billion, thirty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1171 2342 4684 5855 8197 11710 16394 23420 29275 32788 40985 58550 81970 117100 163940 204925 409850 819700 1354193 2708386 5416772 6770965 9479351 13541930 18958702 27083860 33854825 37917404 47396755 67709650 94793510 135419300 189587020 236983775 473967550 947935100 1585760003 3171520006 6343040012 7928800015 11100320021 15857600030 22200640042 31715200060 39644000075 44401280084 55501600105 79288000150 111003200210 158576000300 222006400420 277508000525 555016001050 1110032002100