Search a number
-
+
2010211222122 = 2331929349113619
BaseRepresentation
bin11101010000001001111…
…011010000001001101010
321010011201002001200101000
4131100021323100021222
5230413403033101442
64135251150535430
7265142623313655
oct35201173201152
97104632050330
102010211222122
11705586913134
12285713807576
1311773cc37a3c
146d41aab689c
15374546aed4c
hex1d409ed026a

2010211222122 has 128 divisors (see below), whose sum is σ = 4728253824000. Its totient is φ = 631302154560.

The previous prime is 2010211222081. The next prime is 2010211222177. The reversal of 2010211222122 is 2212221120102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010211222095 and 2010211222104.

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, 147596629 + ... + 147610247.

It is an arithmetic number, because the mean of its divisors is an integer number (36939483000).

Almost surely, 22010211222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010211222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364126912000).

2010211222122 is an abundant number, since it is smaller than the sum of its proper divisors (2718042601878).

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

2010211222122 is a wasteful number, since it uses less digits than its factorization.

2010211222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14433 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2010211222122 its reverse (2212221120102), we get a palindrome (4222432342224).

The spelling of 2010211222122 in words is "two trillion, ten billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 293 342 491 513 586 879 982 1026 1473 1758 2637 2946 4419 5274 5567 7911 8838 9329 11134 13257 13619 15822 16701 18658 26514 27238 27987 33402 40857 50103 55974 81714 83961 100206 122571 143863 150309 167922 245142 251883 258761 287726 300618 367713 431589 503766 517522 735426 776283 863178 1294767 1552566 2328849 2589534 2733397 3884301 3990367 4657698 5466794 6686929 6986547 7768602 7980734 8200191 11971101 13373858 13973094 16400382 20060787 23942202 24600573 35913303 40121574 49201146 60182361 71826606 73801719 75816973 107739909 120364722 127051651 147603438 151633946 180547083 215479818 227450919 254103302 361094166 381154953 454901838 682352757 762309906 1143464859 1364705514 1959270197 2047058271 2286929718 3430394577 3918540394 4094116542 5877810591 6860789154 11755621182 17633431773 35266863546 37226133743 52900295319 74452267486 105800590638 111678401229 223356802458 335035203687 670070407374 1005105611061 2010211222122