Search a number
-
+
100217212734 = 23314759832341
BaseRepresentation
bin101110101010101101…
…0010100111100111110
3100120200022100220002210
41131111122110330332
53120221101301414
6114012242401250
710145322152532
oct1352532247476
9316608326083
10100217212734
1139558005261
121750a660226
1395b18125a2
144bc9c43bc2
152918343e59
hex1755694f3e

100217212734 has 128 divisors (see below), whose sum is σ = 217565429760. Its totient is φ = 30716150400.

The previous prime is 100217212709. The next prime is 100217212751. The reversal of 100217212734 is 437212712001.

It is a Curzon number.

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, 42808404 + ... + 42810744.

It is an arithmetic number, because the mean of its divisors is an integer number (1699729920).

Almost surely, 2100217212734 is an apocalyptic number.

100217212734 is an abundant number, since it is smaller than the sum of its proper divisors (117348217026).

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

100217212734 is a wasteful number, since it uses less digits than its factorization.

100217212734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566.

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 100217212734 its reverse (437212712001), we get a palindrome (537429924735).

The spelling of 100217212734 in words is "one hundred billion, two hundred seventeen million, two hundred twelve thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 31 47 59 62 83 93 94 118 141 166 177 186 249 282 354 498 1457 1829 2341 2573 2773 2914 3658 3901 4371 4682 4897 5146 5487 5546 7023 7719 7802 8319 8742 9794 10974 11703 14046 14691 15438 16638 23406 29382 72571 85963 110027 120931 138119 145142 151807 171926 194303 217713 220054 230159 241862 257889 276238 303614 330081 362793 388606 414357 435426 455421 460318 515778 582909 660162 690477 725586 828714 910842 1165818 1380954 3410837 4281689 6023393 6491593 6821674 7134929 8563378 9132241 10232511 11463877 12046786 12845067 12983186 14269858 18070179 18264482 19474779 20465022 21404787 22927754 25690134 27396723 34391631 36140358 38949558 42809574 54793446 68783262 201239383 283099471 355380187 402478766 538802219 566198942 603718149 710760374 849298413 1066140561 1077604438 1207436298 1616406657 1698596826 2132281122 3232813314 16702868789 33405737578 50108606367 100217212734