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102033212130 = 232541103268459
BaseRepresentation
bin101111100000110100…
…1110100001011100010
3100202100212111012221200
41133001221310023202
53132431000242010
6114512353502030
710241322664443
oct1370151641342
9322325435850
10102033212130
113a2aa0a7503
1217936871916
139810b14b45
144d1d0c32ca
1529c29accc0
hex17c1a742e2

102033212130 has 96 divisors (see below), whose sum is σ = 274396187520. Its totient is φ = 26287407360.

The previous prime is 102033212117. The next prime is 102033212137. The reversal of 102033212130 is 31212330201.

102033212130 is a `hidden beast` number, since 10 + 203 + 321 + 2 + 130 = 666.

102033212130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102033212137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245841 + ... + 514299.

It is an arithmetic number, because the mean of its divisors is an integer number (2858293620).

Almost surely, 2102033212130 is an apocalyptic number.

102033212130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102033212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137198093760).

102033212130 is an abundant number, since it is smaller than the sum of its proper divisors (172362975390).

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

102033212130 is a wasteful number, since it uses less digits than its factorization.

102033212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268616 (or 268613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102033212130 its reverse (31212330201), we get a palindrome (133245542331).

The spelling of 102033212130 in words is "one hundred two billion, thirty-three million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 103 123 205 206 246 309 369 410 515 615 618 738 927 1030 1230 1545 1845 1854 3090 3690 4223 4635 8446 9270 12669 21115 25338 38007 42230 63345 76014 126690 190035 268459 380070 536918 805377 1342295 1610754 2416131 2684590 4026885 4832262 8053770 11006819 12080655 22013638 24161310 27651277 33020457 55034095 55302554 66040914 82953831 99061371 110068190 138256385 165102285 165907662 198122742 248861493 276512770 330204570 414769155 495306855 497722986 829538310 990613710 1133702357 1244307465 2267404714 2488614930 3401107071 5668511785 6802214142 10203321213 11337023570 17005535355 20406642426 34011070710 51016606065 102033212130