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10112102221110 = 2353729337338329
BaseRepresentation
bin1001001100100110100001…
…0000101100010100110110
31022210201002210100010102120
42103021220100230110312
52311134041132033420
633301234032420410
72062401214452261
oct223115020542466
938721083303376
1010112102221110
113249578099a4a
1211739626a7706
1358474b040236
1426d5dd5b9cd8
1512808b890d40
hex9326842c536

10112102221110 has 128 divisors (see below), whose sum is σ = 25019736900480. Its totient is φ = 2613711753216.

The previous prime is 10112102221063. The next prime is 10112102221129. The reversal of 10112102221110 is 1112220121101.

It is a happy number.

It is a super-2 number, since 2×101121022211102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10112102221110.

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, 1214079426 + ... + 1214087754.

It is an arithmetic number, because the mean of its divisors is an integer number (195466694535).

Almost surely, 210112102221110 is an apocalyptic number.

10112102221110 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 10112102221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509868450240).

10112102221110 is an abundant number, since it is smaller than the sum of its proper divisors (14907634679370).

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

10112102221110 is a wasteful number, since it uses less digits than its factorization.

10112102221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12402.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112102221110 its reverse (1112220121101), we get a palindrome (11224322342211).

The spelling of 10112102221110 in words is "ten trillion, one hundred twelve billion, one hundred two million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 293 370 555 586 879 1110 1465 1758 2930 3733 4395 7466 8329 8790 10841 11199 16658 18665 21682 22398 24987 32523 37330 41645 49974 54205 55995 65046 83290 108410 111990 124935 138121 162615 249870 276242 308173 325230 414363 616346 690605 828726 924519 1093769 1381210 1540865 1849038 2071815 2187538 2440397 3081730 3281307 4143630 4622595 4880794 5468845 6562614 7321191 9245190 10937690 12201985 14642382 16406535 24403970 31092157 32813070 36605955 40469453 62184314 73211910 80938906 90294689 93276471 121408359 155460785 180589378 186552942 202347265 242816718 270884067 310921570 404694530 451473445 466382355 541768134 607041795 902946890 932764710 1150409809 1214083590 1354420335 2300819618 2708840670 3451229427 5752049045 6902458854 9110002001 11504098090 17256147135 18220004002 27330006003 34512294270 45550010005 54660012006 91100020010 136650030015 273300060030 337070074037 674140148074 1011210222111 1685350370185 2022420444222 3370700740370 5056051110555 10112102221110