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210011132133222 = 23771311944815039
BaseRepresentation
bin101111110000000100000110…
…111011011111111101100110
31000112120212102212221021100020
4233300010012323133331212
5210011310244311230342
62022353440542500010
762143542426362040
oct5760040673377546
91015525385837306
10210011132133222
1160a09248123872
121b679693294606
139024c70826484
1439c08433baa90
151942d114720ec
hexbf0106edff66

210011132133222 has 128 divisors (see below), whose sum is σ = 487147762483200. Its totient is φ = 59114166988800.

The previous prime is 210011132133199. The next prime is 210011132133251. The reversal of 210011132133222 is 222331231110012.

It is a super-2 number, since 2×2100111321332222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210011132133192 and 210011132133201.

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, 41677142179 + ... + 41677147217.

It is an arithmetic number, because the mean of its divisors is an integer number (3805841894400).

Almost surely, 2210011132133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011132133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243573881241600).

210011132133222 is an abundant number, since it is smaller than the sum of its proper divisors (277136630349978).

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

210011132133222 is a wasteful number, since it uses less digits than its factorization.

210011132133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 210011132133222 its reverse (222331231110012), we get a palindrome (432342363243234).

The spelling of 210011132133222 in words is "two hundred ten trillion, eleven billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 3119 4481 5039 6238 8962 9357 10078 13443 15117 18714 21833 26886 30234 31367 35273 43666 62734 65499 70546 94101 105819 130998 188202 211638 221449 318151 357769 442898 636302 664347 715538 954453 1073307 1328694 1550143 1908906 2146614 2227057 2504383 3100286 4454114 4650429 5008766 6681171 7513149 9300858 13362342 13976239 15026298 15716641 22579759 27952478 31433282 41928717 45159518 47149923 67739277 83857434 94299846 97833673 110016487 135478554 158058313 195667346 220032974 293501019 316116626 330049461 474174939 587002038 660098922 948349878 992312969 1115881511 1603162889 1984625938 2231763022 2976938907 3206325778 3347644533 4809488667 5953877814 6695289066 6946190783 7811170577 9618977334 11222140223 13892381566 15622341154 20838572349 22444280446 23433511731 33666420669 41677144698 46867023462 67332841338 70426268321 140852536642 211278804963 422557609926 492983878247 985967756494 1478951634741 2957903269482 5000265050791 10000530101582 15000795152373 30001590304746 35001855355537 70003710711074 105005566066611 210011132133222