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1111022133100 = 2252112739124249
BaseRepresentation
bin10000001010101110000…
…101000101111101101100
310221012202001011010212121
4100022232011011331230
5121200333131224400
62210221352042324
7143161110212245
oct20125605057554
93835661133777
101111022133100
11399200036800
1215b3a70933a4
13809cc481c19
143bab9299ccc
151dd7846321a
hex102ae145f6c

1111022133100 has 108 divisors (see below), whose sum is σ = 2653624645000. Its totient is φ = 403458105600.

The previous prime is 1111022133019. The next prime is 1111022133187. The reversal of 1111022133100 is 13312201111.

It is a happy number.

It is a super-2 number, since 2×11110221331002 (a number of 25 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 8879776 + ... + 9004024.

Almost surely, 21111022133100 is an apocalyptic number.

1111022133100 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 1111022133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326812322500).

1111022133100 is an abundant number, since it is smaller than the sum of its proper divisors (1542602511900).

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

1111022133100 is a wasteful number, since it uses less digits than its factorization.

1111022133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125024 (or 125006 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1111022133100 its reverse (13312201111), we get a palindrome (1124334334211).

The spelling of 1111022133100 in words is "one trillion, one hundred eleven billion, twenty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 739 1100 1210 1478 2420 2956 3025 3695 6050 7390 8129 12100 14780 16258 18475 32516 36950 40645 73900 81290 89419 124249 162580 178838 203225 248498 357676 406450 447095 496996 621245 812900 894190 1242490 1366739 1788380 2235475 2484980 2733478 3106225 4470950 5466956 6212450 6833695 8941900 12424900 13667390 15034129 27334780 30068258 34168475 60136516 68336950 75170645 91820011 136673900 150341290 183640022 300682580 367280044 375853225 459100055 751706450 918200110 1010020121 1503412900 1836400220 2020040242 2295500275 4040080484 4591000550 5050100605 9182001100 10100201210 11110221331 20200402420 22220442662 25250503025 44440885324 50501006050 55551106655 101002012100 111102213310 222204426620 277755533275 555511066550 1111022133100