Search a number
-
+
2000211011022 = 237219683524269
BaseRepresentation
bin11101000110110101110…
…111011110010111001110
321002012220010220022200010
4131012311313132113032
5230232413004323042
64130514555414050
7264340044032400
oct35066567362716
97065803808603
102000211011022
11701314a74564
122837a2754326
131168081a5473
146cb4c8dab70
153706b7ae59c
hex1d1b5dde5ce

2000211011022 has 96 divisors (see below), whose sum is σ = 4905657302400. Its totient is φ = 540616773312.

The previous prime is 2000211011017. The next prime is 2000211011027. The reversal of 2000211011022 is 2201101120002.

It is an interprime number because it is at equal distance from previous prime (2000211011017) and next prime (2000211011027).

It is a super-2 number, since 2×20002110110222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000211010989 and 2000211011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000211011027) 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, 3553104 + ... + 4077372.

It is an arithmetic number, because the mean of its divisors is an integer number (51100596900).

Almost surely, 22000211011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000211011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452828651200).

2000211011022 is an abundant number, since it is smaller than the sum of its proper divisors (2905446291378).

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

2000211011022 is a wasteful number, since it uses less digits than its factorization.

2000211011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524990 (or 524983 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2000211011022 its reverse (2201101120002), we get a palindrome (4201312131024).

The spelling of 2000211011022 in words is "two trillion, two hundred eleven million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 683 798 931 1366 1862 2049 2793 4098 4781 5586 9562 12977 14343 25954 28686 33467 38931 66934 77862 90839 100401 181678 200802 272517 524269 545034 635873 1048538 1271746 1572807 1907619 3145614 3669883 3815238 7339766 9961111 11009649 19922222 22019298 25689181 29883333 51378362 59766666 69727777 77067543 139455554 154135086 209183331 358075727 418366662 488094439 716151454 976188878 1074227181 1464283317 2148454362 2506530089 2928566634 5013060178 6803438813 7519590267 13606877626 15039180534 17545710623 20410316439 35091421246 40820632878 47624071691 52637131869 95248143382 105274263738 142872215073 285744430146 333368501837 666737003674 1000105505511 2000211011022