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133301102010 = 235711091135081
BaseRepresentation
bin111110000100101011…
…1010110010110111010
3110202001222112121021020
41330021113112112322
54141000040231020
6141123201123310
712426216446316
oct1741127262672
9422058477236
10133301102010
1151594aa6a0a
1221a02329536
13c754a8162b
146647a90b46
153702a82c40
hex1f095d65ba

133301102010 has 128 divisors (see below), whose sum is σ = 330367403520. Its totient is φ = 34410700800.

The previous prime is 133301102009. The next prime is 133301102017. The reversal of 133301102010 is 10201103331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (133301102017) 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, 26232670 + ... + 26237750.

It is an arithmetic number, because the mean of its divisors is an integer number (2580995340).

Almost surely, 2133301102010 is an apocalyptic number.

133301102010 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 133301102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165183701760).

133301102010 is an abundant number, since it is smaller than the sum of its proper divisors (197066301510).

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

133301102010 is a wasteful number, since it uses less digits than its factorization.

133301102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133301102010 its reverse (10201103331), we get a palindrome (143502205341).

The spelling of 133301102010 in words is "one hundred thirty-three billion, three hundred one million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 71 109 113 142 213 218 226 327 339 355 426 545 565 654 678 710 1065 1090 1130 1635 1695 2130 3270 3390 5081 7739 8023 10162 12317 15243 15478 16046 23217 24069 24634 25405 30486 36951 38695 40115 46434 48138 50810 61585 73902 76215 77390 80230 116085 120345 123170 152430 184755 232170 240690 360751 369510 553829 574153 721502 874507 1082253 1107658 1148306 1661487 1722459 1749014 1803755 2164506 2623521 2769145 2870765 3322974 3444918 3607510 4372535 5247042 5411265 5538290 5741530 8307435 8612295 8745070 10822530 13117605 16614870 17224590 26235210 39321859 40764863 62582677 78643718 81529726 117965577 122294589 125165354 187748031 196609295 203824315 235931154 244589178 312913385 375496062 393218590 407648630 589827885 611472945 625826770 938740155 1179655770 1222945890 1877480310 4443370067 8886740134 13330110201 22216850335 26660220402 44433700670 66650551005 133301102010