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1100120022220 = 225292283323087
BaseRepresentation
bin10000000000100100010…
…000110101110011001100
310220011121020220112021011
4100000210100311303030
5121011021211202340
62201215502015004
7142323666620362
oct20004420656314
93804536815234
101100120022220
1139461608850a
12159263b77464
137c98290c33b
143b3633cb632
151d93b2ad0ea
hex10024435ccc

1100120022220 has 72 divisors (see below), whose sum is σ = 2393611182144. Its totient is φ = 424705569792.

The previous prime is 1100120022173. The next prime is 1100120022241. The reversal of 1100120022220 is 222200210011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100120022220.

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, 47639517 + ... + 47662603.

It is an arithmetic number, because the mean of its divisors is an integer number (33244599752).

Almost surely, 21100120022220 is an apocalyptic number.

1100120022220 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 1100120022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196805591072).

1100120022220 is an abundant number, since it is smaller than the sum of its proper divisors (1293491159924).

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

1100120022220 is a wasteful number, since it uses less digits than its factorization.

1100120022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25987 (or 25956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1100120022220 its reverse (222200210011), we get a palindrome (1322320232231).

The spelling of 1100120022220 in words is "one trillion, one hundred billion, one hundred twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 2833 3364 4205 5666 8410 11332 14165 16820 23087 28330 46174 56660 82157 92348 115435 164314 230870 328628 410785 461740 669523 821570 1339046 1643140 2382553 2678092 3347615 4765106 6695230 9530212 11912765 13390460 19416167 23825530 38832334 47651060 65405471 77664668 97080835 130810942 194161670 261621884 327027355 388323340 654054710 1308109420 1896758659 3793517318 7587034636 9483793295 18967586590 37935173180 55006001111 110012002222 220024004444 275030005555 550060011110 1100120022220