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1121122200210 = 235195935394439
BaseRepresentation
bin10000010100001000000…
…101110010101010010010
310222011210221012201021020
4100110020011302222102
5121332024240401320
62215011511340310
7143666311316115
oct20241005625222
93864727181236
101121122200210
113a2513288701
12161345681696
138194bb075ac
143c39682a57c
151e269eda940
hex10508172a92

1121122200210 has 128 divisors (see below), whose sum is σ = 2888504064000. Its totient is φ = 277638653952.

The previous prime is 1121122200197. The next prime is 1121122200221. The reversal of 1121122200210 is 120022211211.

It is a super-2 number, since 2×11211222002102 (a number of 25 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 1121122200210.

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, 11824171 + ... + 11918609.

It is an arithmetic number, because the mean of its divisors is an integer number (22566438000).

Almost surely, 21121122200210 is an apocalyptic number.

1121122200210 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 1121122200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444252032000).

1121122200210 is an abundant number, since it is smaller than the sum of its proper divisors (1767381863790).

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

1121122200210 is a wasteful number, since it uses less digits than its factorization.

1121122200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94880.

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

Adding to 1121122200210 its reverse (120022211211), we get a palindrome (1241144411421).

The spelling of 1121122200210 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 59 95 114 118 177 190 285 295 353 354 570 590 706 885 1059 1121 1765 1770 2118 2242 3363 3530 5295 5605 6707 6726 10590 11210 13414 16815 20121 20827 33535 33630 40242 41654 62481 67070 94439 100605 104135 124962 188878 201210 208270 283317 312405 395713 472195 566634 624810 791426 944390 1187139 1416585 1794341 1978565 2374278 2833170 3588682 3957130 5383023 5571901 5935695 8971705 10766046 11143802 11871390 16715703 17943410 26915115 27859505 33336967 33431406 53830230 55719010 66673934 83578515 100010901 105866119 166684835 167157030 200021802 211732238 317598357 333369670 500054505 529330595 633402373 635196714 1000109010 1058661190 1266804746 1587991785 1900207119 1966881053 3167011865 3175983570 3800414238 3933762106 5900643159 6334023730 9501035595 9834405265 11801286318 19002071190 19668810530 29503215795 37370740007 59006431590 74741480014 112112220021 186853700035 224224440042 373707400070 560561100105 1121122200210