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43031222213034 = 231183107491149519
BaseRepresentation
bin10011100100010111111001…
…01101101101100110101010
312122100202002212022001020010
421302023330231231212222
521120010420341304114
6231304134240112350
712030621541532016
oct1162137455554652
9178322085261203
1043031222213034
11127904911325a0
1249ab8a53056b6
131b01a99760723
14a8aa17c8d546
154e951a511c59
hex2722fcb6d9aa

43031222213034 has 128 divisors (see below), whose sum is σ = 96101446533120. Its totient is φ = 12736182468800.

The previous prime is 43031222212991. The next prime is 43031222213107.

It is a happy number.

43031222213034 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 43031222212992 and 43031222213010.

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, 287722927 + ... + 287872445.

It is an arithmetic number, because the mean of its divisors is an integer number (750792551040).

Almost surely, 243031222213034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43031222213034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48050723266560).

43031222213034 is an abundant number, since it is smaller than the sum of its proper divisors (53070224320086).

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

43031222213034 is a wasteful number, since it uses less digits than its factorization.

43031222213034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150216.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4303122 and 2213034, that added together give a palindrome (6516156).

The spelling of 43031222213034 in words is "forty-three trillion, thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 107 166 214 249 321 491 498 642 913 982 1177 1473 1826 2354 2739 2946 3531 5401 5478 7062 8881 10802 16203 17762 26643 32406 40753 52537 53286 81506 97691 105074 122259 149519 157611 195382 244518 293073 299038 315222 448283 448557 577907 586146 896566 897114 1155814 1344849 1644709 1733721 2689698 3289418 3467442 4360571 4934127 8721142 9868254 12410077 13081713 15998533 24820154 26163426 31997066 37230231 47966281 47995599 73413829 74460462 95932562 95991198 136510847 143898843 146827658 175983863 220241487 273021694 287797686 351967726 409532541 440482974 527951589 807552119 819065082 1055903178 1327878239 1615104238 2422656357 2655756478 3983634717 4845312714 6093347807 7855279703 7967269434 12186695614 14606660629 15710559406 18280043421 23565839109 29213321258 36560086842 43819981887 47131678218 67026825877 86408076733 87639963774 134053651754 172816153466 201080477631 259224230199 402160955262 518448460398 651988215349 1303976430698 1955964646047 3911929292094 7171870368839 14343740737678 21515611106517 43031222213034