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1102221130212 = 2232376611251881
BaseRepresentation
bin10000000010100001011…
…111111011100111100100
310220101000200111212120200
4100002201133323213210
5121024322102131322
62202204200030500
7142430032010556
oct20024137734744
93811020455520
101102221130212
113954a4102aa4
1215974b762430
137cc28cc75c7
143b4c24854d6
151da109938ac
hex100a17fb9e4

1102221130212 has 72 divisors (see below), whose sum is σ = 2865803266872. Its totient is φ = 356936025600.

The previous prime is 1102221130147. The next prime is 1102221130319. The reversal of 1102221130212 is 2120311222011.

1102221130212 is a `hidden beast` number, since 1 + 102 + 221 + 130 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 257468967396 + 844752162816 = 507414^2 + 919104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 254512 + ... + 1506392.

It is an arithmetic number, because the mean of its divisors is an integer number (39802823151).

Almost surely, 21102221130212 is an apocalyptic number.

1102221130212 is a gapful number since it is divisible by the number (12) 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 1102221130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432901633436).

1102221130212 is an abundant number, since it is smaller than the sum of its proper divisors (1763582136660).

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

1102221130212 is a wasteful number, since it uses less digits than its factorization.

1102221130212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252589 (or 1252584 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1102221130212 its reverse (2120311222011), we get a palindrome (3222532352223).

The spelling of 1102221130212 in words is "one trillion, one hundred two billion, two hundred twenty-one million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 661 666 1322 1332 1983 2644 3966 5949 7932 11898 23796 24457 48914 73371 97828 146742 220113 293484 440226 880452 1251881 2503762 3755643 5007524 7511286 11266929 15022572 22533858 45067716 46319597 92639194 138958791 185278388 277917582 416876373 555835164 827493341 833752746 1654986682 1667505492 2482480023 3309973364 4964960046 7447440069 9929920092 14894880138 29789760276 30617253617 61234507234 91851760851 122469014468 183703521702 275555282553 367407043404 551110565106 1102221130212