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1012221100110 = 2351137353234847
BaseRepresentation
bin11101011101011010001…
…01000100000001001110
310120202201102120122011110
432232231011010001032
5113041012100200420
62053001415032450
7133062532250343
oct16565505040116
93522642518143
101012221100110
1136030a471330
1214421296b726
13745b519471c
1436dc557a7ca
151b4e460cee0
hexebad14404e

1012221100110 has 128 divisors (see below), whose sum is σ = 2729527455744. Its totient is φ = 238077480960.

The previous prime is 1012221100109. The next prime is 1012221100223. The reversal of 1012221100110 is 110011222101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4192707 + ... + 4427553.

It is an arithmetic number, because the mean of its divisors is an integer number (21324433248).

Almost surely, 21012221100110 is an apocalyptic number.

1012221100110 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 1012221100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364763727872).

1012221100110 is an abundant number, since it is smaller than the sum of its proper divisors (1717306355634).

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

1012221100110 is a wasteful number, since it uses less digits than its factorization.

1012221100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235258.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012221100110 its reverse (110011222101), we get a palindrome (1122232322211).

It can be divided in two parts, 1012 and 221100110, that added together give a palindrome (221101122).

The spelling of 1012221100110 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 353 370 407 555 706 814 1059 1110 1221 1765 2035 2118 2442 3530 3883 4070 5295 6105 7766 10590 11649 12210 13061 19415 23298 26122 38830 39183 58245 65305 78366 116490 130610 143671 195915 234847 287342 391830 431013 469694 704541 718355 862026 1174235 1409082 1436710 2155065 2348470 2583317 3522705 4310130 5166634 7045410 7749951 8689339 12916585 15499902 17378678 25833170 26068017 38749755 43446695 52136034 77499510 82900991 86893390 95582729 130340085 165801982 191165458 248702973 260680170 286748187 414504955 477913645 497405946 573496374 829009910 911910901 955827290 1243514865 1433740935 1823821802 2487029730 2735732703 2867481870 3067336667 4559554505 5471465406 6134673334 9119109010 9202010001 13678663515 15336683335 18404020002 27357327030 30673366670 33740703337 46010050005 67481406674 92020100010 101222110011 168703516685 202444220022 337407033370 506110550055 1012221100110