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1121020120110 = 23511101167201401
BaseRepresentation
bin10000010100000010000…
…000011000110000101110
310222011112211010111200210
4100110002000120300232
5121331322122320420
62214553423403250
7143663631541362
oct20240200306056
93864484114623
101121020120110
113a24706a6390
12161317453526
1381933916077
143c3870572a2
151e2610749e0
hex10502018c2e

1121020120110 has 128 divisors (see below), whose sum is σ = 2981858116608. Its totient is φ = 267459200000.

The previous prime is 1121020120097. The next prime is 1121020120133. The reversal of 1121020120110 is 110210201211.

It is a super-2 number, since 2×11210201201102 (a number of 25 digits) contains 22 as substring.

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, 5465410 + ... + 5666810.

It is an arithmetic number, because the mean of its divisors is an integer number (23295766536).

Almost surely, 21121020120110 is an apocalyptic number.

1121020120110 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 1121020120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490929058304).

1121020120110 is an abundant number, since it is smaller than the sum of its proper divisors (1860837996498).

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

1121020120110 is a wasteful number, since it uses less digits than its factorization.

1121020120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201690.

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

Adding to 1121020120110 its reverse (110210201211), we get a palindrome (1231230321321).

It can be divided in two parts, 11210201201 and 10, that added together give a palindrome (11210201211).

The spelling of 1121020120110 in words is "one trillion, one hundred twenty-one billion, twenty million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 167 202 303 330 334 501 505 606 835 1002 1010 1111 1515 1670 1837 2222 2505 3030 3333 3674 5010 5511 5555 6666 9185 11022 11110 16665 16867 18370 27555 33330 33734 50601 55110 84335 101202 168670 185537 201401 253005 371074 402802 506010 556611 604203 927685 1007005 1113222 1208406 1855370 2014010 2215411 2783055 3021015 4430822 5566110 6042030 6646233 11077055 13292466 20341501 22154110 33231165 33633967 40683002 61024503 66462330 67267934 100901901 101707505 122049006 168169835 201803802 203415010 223756511 305122515 336339670 369973637 447513022 504509505 610245030 671269533 739947274 1009019010 1109920911 1118782555 1342539066 1849868185 2219841822 2237565110 3356347665 3397030667 3699736370 5549604555 6712695330 6794061334 10191092001 11099209110 16985153335 20382184002 33970306670 37367337337 50955460005 74734674674 101910920010 112102012011 186836686685 224204024022 373673373370 560510060055 1121020120110