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101214734214 = 231123414433671
BaseRepresentation
bin101111001000011011…
…1100100011110000110
3100200020211101020022210
41132100313210132012
53124241432443324
6114255235004250
710212124021446
oct1362067443606
9320224336283
10101214734214
1139a1a095980
1217748739686
139710392599
144c82508126
152975bd5d29
hex1790de4786

101214734214 has 128 divisors (see below), whose sum is σ = 236651175936. Its totient is φ = 28549664000.

The previous prime is 101214734213. The next prime is 101214734261. The reversal of 101214734214 is 412437412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214734213) by changing a digit.

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, 27569599 + ... + 27573269.

It is an arithmetic number, because the mean of its divisors is an integer number (1848837312).

Almost surely, 2101214734214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101214734214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118325587968).

101214734214 is an abundant number, since it is smaller than the sum of its proper divisors (135436441722).

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

101214734214 is a wasteful number, since it uses less digits than its factorization.

101214734214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194.

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 101214734214 in words is "one hundred one billion, two hundred fourteen million, seven hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 41 46 66 69 82 123 138 246 253 443 451 506 759 886 902 943 1329 1353 1518 1886 2658 2706 2829 3671 4873 5658 7342 9746 10189 10373 11013 14619 18163 20378 20746 22026 29238 30567 31119 36326 40381 54489 61134 62238 80762 84433 108978 112079 121143 150511 168866 199793 224158 242286 253299 301022 336237 399586 417749 451533 506598 599379 672474 835498 903066 928763 1198758 1253247 1626253 1655621 1857526 2506494 2786289 3252506 3311242 3461753 4595239 4878759 4966863 5572578 6923506 9190478 9757518 9933726 10385259 13785717 17888783 20770518 27571434 35777566 37403819 38079283 53666349 66676373 74807638 76158566 107332698 112211457 114237849 133352746 200029119 224422914 228475698 400058238 411442009 733440103 822884018 1234326027 1466880206 1533556579 2200320309 2468652054 3067113158 4400640618 4600669737 9201339474 16869122369 33738244738 50607367107 101214734214