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133210202120 = 235415310714323
BaseRepresentation
bin111110000001111110…
…0100110000000001000
3110201211122111102001122
41330003330212000020
54140303302431440
6141110152534412
712424034015132
oct1740374460010
9421748442048
10133210202120
1151548760536
12219979b1408
13c73bca5c08
14663998c052
1536e9ac97b5
hex1f03f26008

133210202120 has 128 divisors (see below), whose sum is σ = 315772007040. Its totient is φ = 50523432960.

The previous prime is 133210202117. The next prime is 133210202123. The reversal of 133210202120 is 21202012331.

It is an interprime number because it is at equal distance from previous prime (133210202117) and next prime (133210202123).

It is not an unprimeable number, because it can be changed into a prime (133210202123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9293279 + ... + 9307601.

It is an arithmetic number, because the mean of its divisors is an integer number (2466968805).

Almost surely, 2133210202120 is an apocalyptic number.

133210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157886003520).

133210202120 is an abundant number, since it is smaller than the sum of its proper divisors (182561804920).

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

133210202120 is a wasteful number, since it uses less digits than its factorization.

133210202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 133210202120 its reverse (21202012331), we get a palindrome (154412214451).

The spelling of 133210202120 in words is "one hundred thirty-three billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 107 164 205 212 214 265 328 410 424 428 530 535 820 856 1060 1070 1640 2120 2140 2173 4280 4346 4387 5671 8692 8774 10865 11342 14323 17384 17548 21730 21935 22684 28355 28646 35096 43460 43870 45368 56710 57292 71615 86920 87740 113420 114584 143230 175480 226840 232511 286460 465022 572920 587243 759119 930044 1162555 1174486 1518238 1532561 1860088 2325110 2348972 2936215 3036476 3065122 3795595 4650220 4697944 5872430 6072952 6130244 7591190 7662805 9300440 11744860 12260488 15182380 15325610 23489720 30364760 30651220 31123879 61302440 62247758 62835001 81225733 124495516 125670002 155619395 162451466 248991032 251340004 311238790 314175005 324902932 406128665 502680008 622477580 628350010 649805864 812257330 1244955160 1256700020 1624514660 2513400040 3249029320 3330255053 6660510106 13321020212 16651275265 26642040424 33302550530 66605101060 133210202120