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2000121010092 = 22327149112011327
BaseRepresentation
bin11101000110110000100…
…000001001011110101100
321002012122212112210121100
4131012300200021132230
5230232221434310332
64130502022403100
7264334602034122
oct35066040113654
97065585483540
102000121010092
11701279192527
12283778590490
131167c2652c8a
146cb4098d912
153706393267c
hex1d1b08097ac

2000121010092 has 144 divisors (see below), whose sum is σ = 5145665301504. Its totient is φ = 654937920000.

The previous prime is 2000121010067. The next prime is 2000121010099. The reversal of 2000121010092 is 2900101210002.

It is a super-2 number, since 2×20001210100922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000121010099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507249533 + ... + 1507250859.

It is an arithmetic number, because the mean of its divisors is an integer number (35733786816).

Almost surely, 22000121010092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000121010092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572832650752).

2000121010092 is an abundant number, since it is smaller than the sum of its proper divisors (3145544291412).

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

2000121010092 is a wasteful number, since it uses less digits than its factorization.

2000121010092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2000121010092 its reverse (2900101210002), we get a palindrome (4900222220094).

The spelling of 2000121010092 in words is "two trillion, one hundred twenty-one million, ten thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 491 639 852 982 1201 1278 1327 1473 1964 2402 2556 2654 2946 3603 3981 4419 4804 5308 5892 7206 7962 8838 10809 11943 14412 15924 17676 21618 23886 34861 43236 47772 69722 85271 94217 104583 139444 170542 188434 209166 255813 282651 313749 341084 376868 418332 511626 565302 589691 627498 651557 767439 847953 1023252 1130604 1179382 1254996 1303114 1534878 1593727 1695906 1769073 1954671 2358764 2606228 3069756 3187454 3391812 3538146 3909342 4781181 5307219 5864013 6374908 7076292 7818684 9562362 10614438 11728026 14343543 19124724 21228876 23456052 28687086 41868061 46260547 57374172 83736122 92521094 113154617 125604183 138781641 167472244 185042188 226309234 251208366 277563282 339463851 376812549 416344923 452618468 502416732 555126564 678927702 753625098 782519957 832689846 1018391553 1357855404 1507250196 1565039914 1665379692 2036783106 2347559871 3130079828 4073566212 4695119742 7042679613 9390239484 14085359226 28170718452 55558916947 111117833894 166676750841 222235667788 333353501682 500030252523 666707003364 1000060505046 2000121010092