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134021202042 = 237133127912837
BaseRepresentation
bin111110011010001001…
…0010100000001111010
3110210221011112110210210
41330310102110001322
54143433411431132
6141322443251550
712453112264320
oct1746422240172
9423834473723
10134021202042
1151924524802
1221b83519bb6
13c83b00a820
1466b557bd10
153745dc5bcc
hex1f3449407a

134021202042 has 128 divisors (see below), whose sum is σ = 340782317568. Its totient is φ = 34181740800.

The previous prime is 134021202031. The next prime is 134021202043. The reversal of 134021202042 is 240202120431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (134021202043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47239048 + ... + 47241884.

It is an arithmetic number, because the mean of its divisors is an integer number (2662361856).

Almost surely, 2134021202042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134021202042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170391158784).

134021202042 is an abundant number, since it is smaller than the sum of its proper divisors (206761115526).

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

134021202042 is a wasteful number, since it uses less digits than its factorization.

134021202042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 134021202042 its reverse (240202120431), we get a palindrome (374223322473).

The spelling of 134021202042 in words is "one hundred thirty-four billion, twenty-one million, two hundred two thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2791 2821 2837 5582 5642 5674 8373 8463 8511 16746 16926 17022 19537 19859 36283 36881 39074 39718 58611 59577 72566 73762 86521 87947 108849 110643 117222 119154 173042 175894 217698 221286 253981 258167 259563 263841 507962 516334 519126 527682 605647 615629 761943 774501 1124773 1143311 1211294 1231258 1523886 1549002 1816941 1846887 2249546 2286622 3374319 3429933 3633882 3693774 6748638 6859866 7873411 7918067 8003177 15746822 15836134 16006354 23620233 23754201 24009531 47240466 47508402 48019062 55426469 102934871 110852938 166279407 205869742 245460077 308804613 332558814 490920154 617609226 720544097 736380231 1441088194 1472760462 1718220539 2161632291 3190981001 3436441078 4323264582 5154661617 6381962002 9572943003 10309323234 19145886006 22336867007 44673734014 67010601021 134021202042