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1001221111110 = 2351137229358079
BaseRepresentation
bin11101001000111010110…
…11011011110101000110
310112201022211011022000110
432210131123123311012
5112401000101023420
62043542111053450
7132223123011513
oct16443533336506
93481284138013
101001221111110
11356685240830
12142062b11286
13735512720ac
14366606b030a
151b09da71ee0
hexe91d6dbd46

1001221111110 has 128 divisors (see below), whose sum is σ = 2703990988800. Its totient is φ = 235128337920.

The previous prime is 1001221111103. The next prime is 1001221111123. The reversal of 1001221111110 is 111111221001.

It is a congruent number.

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, 2617051 + ... + 2975129.

It is an arithmetic number, because the mean of its divisors is an integer number (21124929600).

Almost surely, 21001221111110 is an apocalyptic number.

1001221111110 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 1001221111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351995494400).

1001221111110 is an abundant number, since it is smaller than the sum of its proper divisors (1702769877690).

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

1001221111110 is a wasteful number, since it uses less digits than its factorization.

1001221111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358366.

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

Adding to 1001221111110 its reverse (111111221001), we get a palindrome (1112332332111).

The spelling of 1001221111110 in words is "one trillion, one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 229 330 370 407 458 555 687 814 1110 1145 1221 1374 2035 2290 2442 2519 3435 4070 5038 6105 6870 7557 8473 12210 12595 15114 16946 25190 25419 37785 42365 50838 75570 84730 93203 127095 186406 254190 279609 358079 466015 559218 716158 932030 1074237 1398045 1790395 2148474 2796090 3580790 3938869 5371185 7877738 10742370 11816607 13248923 19694345 23633214 26497846 39388690 39746769 59083035 66244615 79493538 82000091 118166070 132489230 145738153 164000182 198733845 246000273 291476306 397467690 410000455 437214459 492000546 728690765 820000910 874428918 902001001 1230001365 1457381530 1804002002 2186072295 2460002730 2706003003 3034003367 4372144590 4510005005 5412006006 6068006734 9020010010 9102010101 13530015015 15170016835 18204020202 27060030030 30340033670 33374037037 45510050505 66748074074 91020101010 100122111111 166870185185 200244222222 333740370370 500610555555 1001221111110