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102134034002 = 271113232518837
BaseRepresentation
bin101111100011110101…
…0011010111001010010
3100202121220012111120002
41133013222122321102
53133132303042002
6114530354450002
710243655651660
oct1370752327122
9322556174502
10102134034002
113a350aaa470
1217964593902
139828985760
144d2c649c30
1529cb776002
hex17c7a9ae52

102134034002 has 128 divisors (see below), whose sum is σ = 215519367168. Its totient is φ = 34990560000.

The previous prime is 102134033971. The next prime is 102134034007. The reversal of 102134034002 is 200430431201.

102134034002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102134034007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11553128 + ... + 11561964.

It is an arithmetic number, because the mean of its divisors is an integer number (1683745056).

Almost surely, 2102134034002 is an apocalyptic number.

102134034002 is an abundant number, since it is smaller than the sum of its proper divisors (113385333166).

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

102134034002 is a wasteful number, since it uses less digits than its factorization.

102134034002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102134034002 its reverse (200430431201), we get a palindrome (302564465203).

The spelling of 102134034002 in words is "one hundred two billion, one hundred thirty-four million, thirty-four thousand, two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 251 253 286 299 322 502 506 598 1001 1757 1771 2002 2093 2761 3263 3289 3514 3542 4186 5522 5773 6526 6578 8837 11546 17674 19327 22841 23023 35893 38654 40411 45682 46046 61859 63503 71786 75049 80822 97207 114881 123718 127006 150098 194414 203251 229762 251251 406502 444521 502502 525343 680449 804167 825539 889042 1050686 1263691 1360898 1422757 1608334 1651078 2218087 2235761 2527382 2642263 2845514 4436174 4471522 5284526 5778773 8845837 11557546 15526609 15650327 17691674 18495841 24398957 28835131 29064893 31053218 31300654 36991682 48797914 51016001 57670262 58129786 102032002 170792699 201845917 203454251 317186441 341585398 357112007 403691834 406908502 561176011 634372882 663208013 714224014 1122352022 1326416026 2220305087 3928232077 4440610174 4642456091 7295288143 7856464154 9284912182 14590576286 51067017001 102134034002