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100112221011110 = 257111279211348109
BaseRepresentation
bin10110110000110100110001…
…010111101111110010100110
3111010110122010210221120010112
4112300310301113233302212
5101110214312034323420
6552530530332253022
730041604110041610
oct2660646127576246
9433418123846115
10100112221011110
1129998399927860
12b28a504311172
1343b270781cbb9
141aa1658d81db0
15b892368848c5
hex5b0d315efca6

100112221011110 has 128 divisors (see below), whose sum is σ = 224954169753600. Its totient is φ = 31164008325120.

The previous prime is 100112221011109. The next prime is 100112221011163. The reversal of 100112221011110 is 11110122211001.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2080921736 + ... + 2080969844.

It is an arithmetic number, because the mean of its divisors is an integer number (1757454451200).

Almost surely, 2100112221011110 is an apocalyptic number.

100112221011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112221011110 is an abundant number, since it is smaller than the sum of its proper divisors (124841948742490).

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

100112221011110 is a wasteful number, since it uses less digits than its factorization.

100112221011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51526.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100112221011110 its reverse (11110122211001), we get a palindrome (111222343222111).

The spelling of 100112221011110 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 1279 2113 2558 4226 6395 8953 10565 12790 14069 14791 17906 21130 23243 28138 29582 44765 46486 48109 70345 73955 89530 96218 98483 116215 140690 147910 162701 196966 232430 240545 325402 336763 481090 492415 529199 673526 813505 984830 1058398 1627010 1683815 2645995 2702527 3367630 3704393 5291990 5405054 7408786 13512635 18521965 18917689 27025270 29727797 37043930 37835378 59455594 61531411 94588445 101654317 123062822 148638985 189176890 203308634 208094579 297277970 307657055 416189158 430719877 508271585 615314110 676845521 711580219 861439754 1016543170 1040472895 1118197487 1353691042 1423160438 2080945790 2153599385 2236394974 3384227605 3557901095 4307198770 4737918647 5590987435 6768455210 7115802190 7827382409 9475837294 11181974870 15654764818 23689593235 39136912045 47379186470 78273824090 130015871443 260031742886 650079357215 910111100101 1300158714430 1430174585873 1820222200202 2860349171746 4550555500505 7150872929365 9101111001010 10011222101111 14301745858730 20022444202222 50056110505555 100112221011110