Search a number
-
+
1020112121022 = 2323113211389797
BaseRepresentation
bin11101101100000110110…
…10111010110010111110
310121112002100221000212020
432312003122322302332
5113203142200333042
62100344423021010
7133462220650251
oct16660332726276
93545070830766
101020112121022
11363699775115
1214585559a766
1375271c6c077
1437533597098
151b80727d3ec
hexed836bacbe

1020112121022 has 128 divisors (see below), whose sum is σ = 2166210708480. Its totient is φ = 319620618240.

The previous prime is 1020112120949. The next prime is 1020112121029. The reversal of 1020112121022 is 2201212110201.

It is a junction number, because it is equal to n+sod(n) for n = 1020112120992 and 1020112121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020112121029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1279939528 + ... + 1279940324.

It is an arithmetic number, because the mean of its divisors is an integer number (16923521160).

Almost surely, 21020112121022 is an apocalyptic number.

1020112121022 is an abundant number, since it is smaller than the sum of its proper divisors (1146098587458).

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

1020112121022 is a wasteful number, since it uses less digits than its factorization.

1020112121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538.

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

Adding to 1020112121022 its reverse (2201212110201), we get a palindrome (3221324231223).

The spelling of 1020112121022 in words is "one trillion, twenty billion, one hundred twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 23 46 69 113 138 211 226 339 389 422 633 678 778 797 1167 1266 1594 2334 2391 2599 4782 4853 5198 7797 8947 9706 14559 15594 17894 18331 23843 26841 29118 36662 43957 47686 53682 54993 71529 82079 87914 90061 109986 131871 143058 164158 168167 180122 246237 263742 270183 310033 336334 492474 504501 540366 548389 620066 930099 1009002 1011011 1096778 1645167 1860198 1887817 2022022 2071403 3033033 3290334 3775634 3867841 4142806 5663451 6066066 6214209 7130759 7735682 9274927 11326902 11603523 12428418 14261518 18549854 19002871 21392277 23207046 27824781 35033729 38005742 42784554 55649562 57008613 65416963 70067458 105101187 114017226 130833926 196250889 210202374 213323321 392501778 426646642 437066033 639969963 805775767 874132066 1279939926 1311198099 1504590149 1611551534 2417327301 2622396198 3009180298 4513770447 4834654602 7392116819 9027540894 14784233638 22176350457 44352700914 170018686837 340037373674 510056060511 1020112121022