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103113221211 = 34711131271731
BaseRepresentation
bin110000000001000000…
…1101110010001011011
3100212011010201100220000
41200002001232101123
53142133441034321
6115211454104043
710310145630120
oct1400201562133
9325133640800
10103113221211
113a8037a82a0
1217b984ab023
1399537b6580
144dc26da747
152a376e5826
hex180206e45b

103113221211 has 80 divisors (see below), whose sum is σ = 206814144768. Its totient is φ = 49444862400.

The previous prime is 103113221201. The next prime is 103113221221. The reversal of 103113221211 is 112122311301.

103113221211 is a `hidden beast` number, since 10 + 311 + 322 + 1 + 21 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (103113221201) and next prime (103113221221).

It is not a de Polignac number, because 103113221211 - 213 = 103113213019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103113221201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 554785 + ... + 716946.

Almost surely, 2103113221211 is an apocalyptic number.

103113221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103113221211 is an abundant number, since it is smaller than the sum of its proper divisors (103700923557).

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

103113221211 is a wasteful number, since it uses less digits than its factorization.

103113221211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271774 (or 1271765 counting only the distinct ones).

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

Adding to 103113221211 its reverse (112122311301), we get a palindrome (215235532512).

The spelling of 103113221211 in words is "one hundred three billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 273 297 351 429 567 693 819 891 1001 1053 1287 2079 2457 3003 3861 6237 7371 9009 11583 27027 81081 1271731 3815193 8902117 11445579 13989041 16532503 26706351 34336737 41967123 49597509 80119053 97923287 103010211 115727521 125901369 148792527 181857533 240357159 293769861 347182563 377704107 446377581 545572599 721071477 881309583 1041547689 1133112321 1273002731 1339132743 1636717797 2643928749 3124643067 3819008193 4910153391 7931786247 9373929201 11457024579 14730460173 34371073737 103113221211