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210034412120022 = 23722239293448439
BaseRepresentation
bin101111110000011001110010…
…100001100110011111010110
31000112200002112022100010121120
4233300121302201212133112
5210012200434000320042
62022412251001424410
762145325350115500
oct5760316241463726
91015602468303546
10210034412120022
1160a18104068486
121b6820ab79b106
1390272108c6ca9
1439c1a1114cd70
15194372513adec
hexbf06728667d6

210034412120022 has 96 divisors (see below), whose sum is σ = 491371250227200. Its totient is φ = 59676405852672.

The previous prime is 210034412119981. The next prime is 210034412120023. The reversal of 210034412120022 is 220021214430012.

It is a super-2 number, since 2×2100344121200222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210034412119974 and 210034412120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210034412120023) 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, 59182879 + ... + 62631317.

It is an arithmetic number, because the mean of its divisors is an integer number (5118450523200).

Almost surely, 2210034412120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210034412120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245685625113600).

210034412120022 is an abundant number, since it is smaller than the sum of its proper divisors (281336838107178).

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

210034412120022 is a wasteful number, since it uses less digits than its factorization.

210034412120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449610 (or 3449603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 210034412120022 its reverse (220021214430012), we get a palindrome (430055626550034).

The spelling of 210034412120022 in words is "two hundred ten trillion, thirty-four billion, four hundred twelve million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 223 294 446 669 929 1338 1561 1858 2787 3122 4683 5574 6503 9366 10927 13006 19509 21854 32781 39018 45521 65562 91042 136563 207167 273126 414334 621501 1243002 1450169 2900338 3448439 4350507 6896878 8701014 10151183 10345317 20302366 20690634 24139073 30453549 48278146 60907098 72417219 144834438 168973511 337947022 506920533 769001897 1013841066 1538003794 2307005691 3203599831 4614011382 5383013279 6407199662 9610799493 10766026558 16149039837 19221598986 22425198817 32298079674 37681092953 44850397634 67275596451 75362185906 113043278859 134551192902 156976391719 226086557718 313952783438 470929175157 714402762313 941858350314 1428805524626 2143208286939 4286416573878 5000819336191 10001638672382 15002458008573 30004916017146 35005735353337 70011470706674 105017206060011 210034412120022