Search a number
-
+
1112212210120 = 235115367370867
BaseRepresentation
bin10000001011110101000…
…000111000000111001000
310221022210222111022122021
4100023311000320013020
5121210302311210440
62210535423334224
7143232440541454
oct20136500700710
93838728438567
101112212210120
11399760885230
1215b679751374
1380b5bbb08cb
143bb8d365664
151dde7b8d84a
hex102f50381c8

1112212210120 has 128 divisors (see below), whose sum is σ = 2785656666240. Its totient is φ = 396214640640.

The previous prime is 1112212209971. The next prime is 1112212210163. The reversal of 1112212210120 is 210122122111.

It is a junction number, because it is equal to n+sod(n) for n = 1112212210094 and 1112212210103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15658927 + ... + 15729793.

It is an arithmetic number, because the mean of its divisors is an integer number (21762942705).

Almost surely, 21112212210120 is an apocalyptic number.

1112212210120 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 1112212210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392828333120).

1112212210120 is an abundant number, since it is smaller than the sum of its proper divisors (1673444456120).

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

1112212210120 is a wasteful number, since it uses less digits than its factorization.

1112212210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71615 (or 71611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1112212210120 its reverse (210122122111), we get a palindrome (1322334332231).

The spelling of 1112212210120 in words is "one trillion, one hundred twelve billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 673 1060 1166 1346 2120 2332 2692 2915 3365 4664 5384 5830 6730 7403 11660 13460 14806 23320 26920 29612 35669 37015 59224 70867 71338 74030 141734 142676 148060 178345 283468 285352 296120 354335 356690 392359 566936 708670 713380 779537 784718 1417340 1426760 1559074 1569436 1961795 2834680 3118148 3138872 3755951 3897685 3923590 6236296 7511902 7795370 7847180 15023804 15590740 15694360 18779755 30047608 31181480 37559510 41315461 47693491 75119020 82630922 95386982 150238040 165261844 190773964 206577305 238467455 330523688 381547928 413154610 476934910 524628401 826309220 953869820 1049256802 1652618440 1907739640 2098513604 2527755023 2623142005 4197027208 5055510046 5246284010 10111020092 10492568020 12638775115 20222040184 20985136040 25277550230 27805305253 50555100460 55610610506 101110200920 111221221012 139026526265 222442442024 278053052530 556106105060 1112212210120