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1010240535222 = 2323153325310501
BaseRepresentation
bin11101011001101110000…
…01110011101010110110
310120120121101210111220100
432230313001303222312
5113022433034111342
62052033104414530
7132662462602602
oct16546701635266
93516541714810
101010240535222
1135a493499646
1214395b617446
137435aa63639
1436c78500502
151b42a7d8e4c
hexeb37073ab6

1010240535222 has 96 divisors (see below), whose sum is σ = 2303021051136. Its totient is φ = 319606560000.

The previous prime is 1010240535217. The next prime is 1010240535223. The reversal of 1010240535222 is 2225350420101.

1010240535222 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 405 + 35 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010240535223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96198972 + ... + 96209472.

It is an arithmetic number, because the mean of its divisors is an integer number (23989802616).

Almost surely, 21010240535222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010240535222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151510525568).

1010240535222 is an abundant number, since it is smaller than the sum of its proper divisors (1292780515914).

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

1010240535222 is a wasteful number, since it uses less digits than its factorization.

1010240535222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846 (or 13843 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1010240535222 its reverse (2225350420101), we get a palindrome (3235590955323).

The spelling of 1010240535222 in words is "one trillion, ten billion, two hundred forty million, five hundred thirty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 477 558 954 1643 3253 3286 4929 6506 9759 9858 10501 14787 19518 21002 29277 29574 31503 58554 63006 94509 100843 172409 189018 201686 302529 325531 344818 517227 556553 605058 651062 907587 976593 1034454 1113106 1551681 1669659 1815174 1953186 2929779 3103362 3339318 5008977 5344679 5859558 10017954 10689358 16034037 17253143 32068074 34159753 34506286 48102111 51759429 68319506 96204222 102479259 103518858 155278287 204958518 307437777 310556574 614875554 1058952343 1810466909 2117904686 3176857029 3620933818 5431400727 6353714058 9530571087 10862801454 16294202181 19061142174 32588404362 56124474179 112248948358 168373422537 336746845074 505120267611 1010240535222