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1112002210100 = 2252139191418849
BaseRepresentation
bin10000001011101000011…
…111110010100100110100
310221022021100100012202202
4100023220133302210310
5121204340031210400
62210502522324032
7143224310554505
oct20135037624464
93838240305682
101112002210100
113996632920a1
1215b61b359618
1380b27534a42
143bb6d4dcbac
151ddd450b4d5
hex102e87f2934

1112002210100 has 72 divisors (see below), whose sum is σ = 2443135296000. Its totient is φ = 439287782400.

The previous prime is 1112002210073. The next prime is 1112002210129. The reversal of 1112002210100 is 10122002111.

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 23 ways as a sum of consecutive naturals, for example, 2445476 + ... + 2864324.

Almost surely, 21112002210100 is an apocalyptic number.

1112002210100 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 1112002210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221567648000).

1112002210100 is an abundant number, since it is smaller than the sum of its proper divisors (1331133085900).

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

1112002210100 is a wasteful number, since it uses less digits than its factorization.

1112002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419193 (or 419186 counting only the distinct ones).

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

Adding to 1112002210100 its reverse (10122002111), we get a palindrome (1122124212211).

The spelling of 1112002210100 in words is "one trillion, one hundred twelve billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 191 278 382 556 695 764 955 1390 1910 2780 3475 3820 4775 6950 9550 13900 19100 26549 53098 106196 132745 265490 418849 530980 663725 837698 1327450 1675396 2094245 2654900 4188490 8376980 10471225 20942450 41884900 58220011 80000159 116440022 160000318 232880044 291100055 320000636 400000795 582200110 800001590 1164400220 1455500275 1600003180 2000003975 2911000550 4000007950 5822001100 8000015900 11120022101 22240044202 44480088404 55600110505 111200221010 222400442020 278000552525 556001105050 1112002210100