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210434440133130 = 235311072837472461
BaseRepresentation
bin101111110110001110010110…
…000011010111101000001010
31000121002100001221121201100220
4233312032112003113220022
5210040224213133230010
62023320125222210510
762216246412121413
oct5766162603275012
91017070057551326
10210434440133130
1161061821493504
121b727730283a36
139055b61c92b25
1439d711cd2480a
15194dd39219970
hexbf63960d7a0a

210434440133130 has 128 divisors (see below), whose sum is σ = 528066096685056. Its totient is φ = 53608025836800.

The previous prime is 210434440133119. The next prime is 210434440133143. The reversal of 210434440133130 is 31331044434012.

It is a junction number, because it is equal to n+sod(n) for n = 210434440133091 and 210434440133100.

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, 24425100 + ... + 31897560.

It is an arithmetic number, because the mean of its divisors is an integer number (4125516380352).

Almost surely, 2210434440133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210434440133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264033048342528).

210434440133130 is an abundant number, since it is smaller than the sum of its proper divisors (317631656551926).

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

210434440133130 is a wasteful number, since it uses less digits than its factorization.

210434440133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472892.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 210434440133130 its reverse (31331044434012), we get a palindrome (241765484567142).

The spelling of 210434440133130 in words is "two hundred ten trillion, four hundred thirty-four billion, four hundred forty million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 107 155 186 214 283 310 321 465 535 566 642 849 930 1070 1415 1605 1698 2830 3210 3317 4245 6634 8490 8773 9951 16585 17546 19902 26319 30281 33170 43865 49755 52638 60562 87730 90843 99510 131595 151405 181686 263190 302810 454215 908430 938711 1877422 2816133 4693555 5632266 7472461 9387110 14080665 14944922 22417383 28161330 37362305 44834766 74724610 112086915 224173830 231646291 463292582 694938873 799553327 1158231455 1389877746 1599106654 2114706463 2316462910 2398659981 3474694365 3997766635 4229412926 4797319962 6344119389 6949388730 7995533270 10573532315 11993299905 12688238778 21147064630 23986599810 24786153137 31720596945 49572306274 63441193890 65555900353 74358459411 123930765685 131111800706 148716918822 196667701059 226273591541 247861531370 327779501765 371792297055 393335402118 452547183082 655559003530 678820774623 743584594110 983338505295 1131367957705 1357641549246 1966677010590 2262735915410 3394103873115 6788207746230 7014481337771 14028962675542 21043444013313 35072406688855 42086888026626 70144813377710 105217220066565 210434440133130