Search a number
-
+
1102211220120 = 2335269274912421
BaseRepresentation
bin10000000010100000111…
…010001000001010011000
310220100222222212101111020
4100002200322020022120
5121024312033020440
62202203203402440
7142426551534303
oct20024072101230
93810888771436
101102211220120
1139549955443a
12159748383420
137cc26c3794a
143b4c1025b3a
151da0eb873d0
hex100a0e88298

1102211220120 has 128 divisors (see below), whose sum is σ = 3320400600000. Its totient is φ = 292700252160.

The previous prime is 1102211220037. The next prime is 1102211220127. The reversal of 1102211220120 is 210221122011.

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 1102211220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102211220127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88731510 + ... + 88743930.

Almost surely, 21102211220120 is an apocalyptic number.

1102211220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102211220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660200300000).

1102211220120 is an abundant number, since it is smaller than the sum of its proper divisors (2218189379880).

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

1102211220120 is a wasteful number, since it uses less digits than its factorization.

1102211220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15453 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1102211220120 its reverse (210221122011), we get a palindrome (1312432342131).

The spelling of 1102211220120 in words is "one trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 2749 3228 4035 5380 5498 6456 8070 8247 10760 10996 12421 13745 16140 16494 21992 24842 27490 32280 32988 37263 41235 49684 54980 62105 65976 74526 82470 99368 109960 124210 149052 164940 186315 248420 298104 329880 372630 496840 739481 745260 1478962 1490520 2218443 2957924 3341249 3697405 4436886 5915848 6682498 7394810 8873772 10023747 11092215 13364996 14789620 16706245 17747544 20047494 22184430 26729992 29579240 33412490 34145329 40094988 44368860 50118735 66824980 68290658 80189976 88737720 100237470 102435987 133649960 136581316 170726645 200474940 204871974 273162632 341453290 400949880 409743948 512179935 682906580 819487896 1024359870 1365813160 2048719740 4097439480 9185093501 18370187002 27555280503 36740374004 45925467505 55110561006 73480748008 91850935010 110221122012 137776402515 183701870020 220442244024 275552805030 367403740040 551105610060 1102211220120