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1110211121010 = 235174336537699
BaseRepresentation
bin10000001001111101101…
…111010100111101110010
310221010122112002110102210
4100021331233110331302
5121142203021333020
62210005101152550
7143132031552435
oct20117557247562
93833575073383
101110211121010
11398924264382
1215b1bb55b756
1380900444904
143ba3d6a581c
151dd2c1633e0
hex1027dbd4f72

1110211121010 has 128 divisors (see below), whose sum is σ = 2832456211200. Its totient is φ = 277535932416.

The previous prime is 1110211121009. The next prime is 1110211121021. The reversal of 1110211121010 is 101211120111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144198141 + ... + 144205839.

It is an arithmetic number, because the mean of its divisors is an integer number (22128564150).

Almost surely, 21110211121010 is an apocalyptic number.

1110211121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110211121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416228105600).

1110211121010 is an abundant number, since it is smaller than the sum of its proper divisors (1722245090190).

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

1110211121010 is a wasteful number, since it uses less digits than its factorization.

1110211121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8812.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110211121010 its reverse (101211120111), we get a palindrome (1211422241121).

The spelling of 1110211121010 in words is "one trillion, one hundred ten billion, two hundred eleven million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 433 510 653 866 1299 1306 1959 2165 2598 3265 3918 4330 6495 6530 7361 7699 9795 11101 12990 14722 15398 19590 22083 22202 23097 33303 36805 38495 44166 46194 55505 66606 73610 76990 110415 111010 115485 130883 166515 220830 230970 261766 282749 333030 392649 565498 654415 785298 848247 1308830 1413745 1696494 1963245 2827490 3333667 3926490 4241235 4806733 5027447 6667334 8482470 9613466 10001001 10054894 14420199 15082341 16668335 20002002 24033665 25137235 28840398 30164682 33336670 48067330 50005005 50274470 56672339 72100995 75411705 85466599 100010010 113344678 144201990 150823410 170017017 170933198 256399797 283361695 340034034 427332995 512799594 566723390 850085085 854665990 1281998985 1700170170 2176884551 2563997970 4353769102 6530653653 10884422755 13061307306 21768845510 32653268265 37007037367 65306536530 74014074734 111021112101 185035186835 222042224202 370070373670 555105560505 1110211121010