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2421134310 = 2357291792221
BaseRepresentation
bin1001000001001111…
…1001001111100110
320020201210100220010
42100103321033212
514424302244220
61040125151050
7113666205420
oct22023711746
96221710803
102421134310
111032738051
125769bb486
132c77a846a
1418d7a1810
15e284d1e0
hex904f93e6

2421134310 has 128 divisors (see below), whose sum is σ = 6911308800. Its totient is φ = 531095040.

The previous prime is 2421134273. The next prime is 2421134321. The reversal of 2421134310 is 134311242.

2421134310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24211343102 = 11723782694118352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1089000 + ... + 1091220.

It is an arithmetic number, because the mean of its divisors is an integer number (53994600).

Almost surely, 22421134310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421134310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455654400).

2421134310 is an abundant number, since it is smaller than the sum of its proper divisors (4490174490).

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

2421134310 is a wasteful number, since it uses less digits than its factorization.

2421134310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2421134310 is about 49205.0232191796. The cubic root of 2421134310 is about 1342.7844214267.

Adding to 2421134310 its reverse (134311242), we get a palindrome (2555445552).

The spelling of 2421134310 in words is "two billion, four hundred twenty-one million, one hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 179 203 210 290 358 406 435 537 609 870 895 1015 1074 1218 1253 1790 2030 2221 2506 2685 3045 3759 4442 5191 5370 6090 6265 6663 7518 10382 11105 12530 13326 15547 15573 18795 22210 25955 31094 31146 33315 36337 37590 46641 51910 64409 66630 72674 77735 77865 93282 109011 128818 155470 155730 181685 193227 218022 233205 322045 363370 386454 397559 450863 466410 545055 644090 795118 901726 966135 1090110 1192677 1352589 1932270 1987795 2254315 2385354 2705178 2782913 3975590 4508630 5565826 5963385 6762945 8348739 11529211 11926770 13525890 13914565 16697478 23058422 27829130 34587633 41743695 57646055 69175266 80704477 83487390 115292110 161408954 172938165 242113431 345876330 403522385 484226862 807044770 1210567155 2421134310