Search a number
-
+
124421332002 = 231119671937673
BaseRepresentation
bin111001111100000010…
…1101101110000100010
3102220011010200112210120
41303320011231300202
54014303330111002
6133054112541110
711663163605112
oct1637005556042
9386133615716
10124421332002
1148848664310
1220144551796
13b96b1a8b56
146044615042
153383204cbc
hex1cf816dc22

124421332002 has 128 divisors (see below), whose sum is σ = 291557975040. Its totient is φ = 34999050240.

The previous prime is 124421331973. The next prime is 124421332027. The reversal of 124421332002 is 200233124421.

It is a happy 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, 16211638 + ... + 16219310.

It is an arithmetic number, because the mean of its divisors is an integer number (2277796680).

Almost surely, 2124421332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124421332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145778987520).

124421332002 is an abundant number, since it is smaller than the sum of its proper divisors (167136643038).

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

124421332002 is a wasteful number, since it uses less digits than its factorization.

124421332002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 124421332002 its reverse (200233124421), we get a palindrome (324654456423).

The spelling of 124421332002 in words is "one hundred twenty-four billion, four hundred twenty-one million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 67 114 134 193 201 209 386 402 418 579 627 737 1158 1254 1273 1474 2123 2211 2546 3667 3819 4246 4422 6369 7334 7638 7673 11001 12738 12931 14003 15346 22002 23019 25862 28006 38793 40337 42009 46038 77586 80674 84018 84403 121011 142241 145787 168806 242022 245689 253209 284482 291574 426723 437361 491378 506418 514091 737067 853446 874722 1028182 1474134 1480889 1542273 1603657 2702579 2961778 3084546 3207314 4442667 4810971 5405158 5655001 8107737 8885334 9621942 9767729 11310002 16215474 16289779 16965003 19535458 28136891 29303187 32579558 33930006 48869337 56273782 58606374 84410673 97738674 99219563 107445019 168821346 198439126 214890038 297658689 309505801 322335057 595317378 619011602 644670114 928517403 1091415193 1857034806 1885171697 2182830386 3274245579 3770343394 5655515091 6548491158 11311030182 20736888667 41473777334 62210666001 124421332002