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422101013334 = 2371113334321023
BaseRepresentation
bin1100010010001110010…
…11100101001101010110
31111100111221112011201020
412021013023211031112
523403430324411314
6521524401342010
742332025262140
oct6110713451526
91440457464636
10422101013334
11153015021880
1269980937906
1330a5b39a120
1416603519c90
15aea6d2bda9
hex62472e5356

422101013334 has 128 divisors (see below), whose sum is σ = 1133867040768. Its totient is φ = 101167954560.

The previous prime is 422101013297. The next prime is 422101013363. The reversal of 422101013334 is 433310101224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20067547 + ... + 20088569.

It is an arithmetic number, because the mean of its divisors is an integer number (8858336256).

Almost surely, 2422101013334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422101013334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566933520384).

422101013334 is an abundant number, since it is smaller than the sum of its proper divisors (711766027434).

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

422101013334 is a wasteful number, since it uses less digits than its factorization.

422101013334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24402.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 422101013334 its reverse (433310101224), we get a palindrome (855411114558).

The spelling of 422101013334 in words is "four hundred twenty-two billion, one hundred one million, thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 3343 6006 6686 10029 20058 21023 23401 36773 42046 43459 46802 63069 70203 73546 86918 110319 126138 130377 140406 147161 220638 231253 257411 260754 273299 294322 304213 441483 462506 478049 514822 546598 608426 693759 772233 819897 882966 912639 956098 1387518 1434147 1544466 1618771 1639794 1825278 1913093 2868294 3006289 3237542 3346343 3826186 4856313 5739279 6012578 6692686 9018867 9712626 10039029 11478558 18037734 20078058 21044023 42088046 63132069 70279889 126264138 140559778 210839667 421679334 491959223 773078779 913638557 983918446 1475877669 1546157558 1827277114 2319236337 2740915671 2951755338 4638472674 5411551453 5481831342 6395469899 10050024127 10823102906 12790939798 16234654359 19186409697 20100048254 30150072381 32469308718 38372819394 60300144762 70350168889 140700337778 211050506667 422101013334