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1010301133221 = 3223371311006949
BaseRepresentation
bin11101011001110101010…
…00111110000110100101
310120120202121211012201200
432230322220332012211
5113023044042230341
62052043111313113
7132664126640262
oct16547250760645
93516677735650
101010301133221
1135a514718836
1214397797b799
137436a48c843
1436c82596269
151b430ca8db6
hexeb3aa3e1a5

1010301133221 has 48 divisors (see below), whose sum is σ = 1575868694400. Its totient is φ = 622052196480.

The previous prime is 1010301133189. The next prime is 1010301133241. The reversal of 1010301133221 is 1223311030101.

1010301133221 is a `hidden beast` number, since 1 + 0 + 10 + 301 + 1 + 332 + 21 = 666.

It is not a de Polignac number, because 1010301133221 - 25 = 1010301133189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010301133194 and 1010301133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010301133241) 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, 499855 + ... + 1506803.

It is an arithmetic number, because the mean of its divisors is an integer number (32830597800).

Almost surely, 21010301133221 is an apocalyptic number.

It is an amenable number.

1010301133221 is a deficient number, since it is larger than the sum of its proper divisors (565567561179).

1010301133221 is a wasteful number, since it uses less digits than its factorization.

1010301133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007146 (or 1007143 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010301133221 its reverse (1223311030101), we get a palindrome (2233612163322).

The spelling of 1010301133221 in words is "one trillion, ten billion, three hundred one million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 23 37 69 111 131 207 333 393 851 1179 2553 3013 4847 7659 9039 14541 27117 43623 111481 334443 1003329 1006949 3020847 9062541 23159827 37257113 69479481 111771339 131910319 208438443 335314017 395730957 856913599 1187192871 2570740797 3033937337 4880681803 7712222391 9101812011 14642045409 27305436033 43926136227 112255681469 336767044407 1010301133221