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10301101122213 = 32111395387138959
BaseRepresentation
bin1001010111100110100101…
…1110010010001010100101
31100110202221110010002021200
42111321221132102022211
52322233123341402323
633524132135033113
72112141613555536
oct225715136221245
940422843102250
1010301101122213
113311744041780
1211a4509b0b799
1359950b13b825
1427880c5c268d
1512ce4e10a443
hex95e697922a5

10301101122213 has 48 divisors (see below), whose sum is σ = 16351967923200. Its totient is φ = 6196982084640.

The previous prime is 10301101122209. The next prime is 10301101122253. The reversal of 10301101122213 is 31222110110301.

10301101122213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10301101122213 - 22 = 10301101122209 is a prime.

It is a super-2 number, since 2×103011011222132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301101122253) 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, 74061028 + ... + 74199986.

It is an arithmetic number, because the mean of its divisors is an integer number (340665998400).

Almost surely, 210301101122213 is an apocalyptic number.

It is an amenable number.

10301101122213 is a deficient number, since it is larger than the sum of its proper divisors (6050866800987).

10301101122213 is a wasteful number, since it uses less digits than its factorization.

10301101122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144502 (or 144499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10301101122213 its reverse (31222110110301), we get a palindrome (41523211232514).

The spelling of 10301101122213 in words is "ten trillion, three hundred one billion, one hundred one million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 139 417 1251 1529 4587 5387 13761 16161 48483 59257 138959 177771 416877 533313 748793 1250631 1528549 2246379 4585647 6739137 8236723 13756941 19315301 24710169 57945903 74130507 173837709 212468311 637404933 748572133 1912214799 2245716399 6737149197 8234293463 24702880389 74108641167 104051526487 312154579461 936463738383 1144566791357 3433700374071 10301101122213