Search a number
-
+
133511430332 = 227237149157787
BaseRepresentation
bin111110001010111100…
…1101100000010111100
3110202121122022101111002
41330111321230002330
54141412411232312
6141200113145432
712434352301400
oct1742571540274
9422548271432
10133511430332
11516927a3775
1221a6085b278
13c789513a67
1466679a1100
15371627c4c2
hex1f15e6c0bc

133511430332 has 144 divisors (see below), whose sum is σ = 283159447200. Its totient is φ = 54877036032.

The previous prime is 133511430329. The next prime is 133511430361. The reversal of 133511430332 is 233034115331.

It is a junction number, because it is equal to n+sod(n) for n = 133511430295 and 133511430304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169645643 + ... + 169646429.

It is an arithmetic number, because the mean of its divisors is an integer number (1966385050).

Almost surely, 2133511430332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133511430332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141579723600).

133511430332 is an abundant number, since it is smaller than the sum of its proper divisors (149648016868).

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

133511430332 is a wasteful number, since it uses less digits than its factorization.

133511430332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 133511430332 its reverse (233034115331), we get a palindrome (366545545663).

The spelling of 133511430332 in words is "one hundred thirty-three billion, five hundred eleven million, four hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 149 157 196 259 298 314 518 596 628 787 1036 1043 1099 1574 1813 2086 2198 3148 3626 4172 4396 5509 5513 5809 7252 7301 7693 11018 11026 11618 14602 15386 22036 22052 23236 23393 29119 29204 30772 38563 38591 40663 46786 58238 77126 77182 81326 93572 116476 117263 123559 154252 154364 162652 163751 203833 234526 247118 270137 284641 327502 407666 469052 494236 540274 569282 655004 815332 820841 864913 865541 1080548 1138564 1146257 1426831 1641682 1729826 1731082 2292514 2853662 3283364 3459652 3462164 4338731 4571683 4585028 5707324 5745887 6054391 6058787 8677462 9143366 11491774 12108782 12117574 17354924 18286732 18410291 22983548 24217564 24235148 30371117 32001781 36820582 42411509 60742234 64003562 73641164 84823018 121484468 128007124 128872037 169646036 212597819 224012467 257744074 425195638 448024934 515488148 681180767 850391276 896049868 902104259 1362361534 1804208518 2724723068 3608417036 4768265369 9536530738 19073061476 33377857583 66755715166 133511430332