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103113101322 = 232711157473861
BaseRepresentation
bin110000000001000000…
…1010001000000001010
3100212011010111021102200
41200002001101000022
53142133423220242
6115211451341030
710310144620440
oct1400201210012
9325133437380
10103113101322
113a803726210
1217b98451776
139953773b2a
144dc26a8b90
152a376c004c
hex180205100a

103113101322 has 96 divisors (see below), whose sum is σ = 280314013824. Its totient is φ = 26611977600.

The previous prime is 103113101321. The next prime is 103113101353. The reversal of 103113101322 is 223101311301.

103113101322 is a `hidden beast` number, since 1 + 0 + 31 + 1 + 310 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103113101295 and 103113101304.

It is not an unprimeable number, because it can be changed into a prime (103113101321) 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, 19329 + ... + 454532.

It is an arithmetic number, because the mean of its divisors is an integer number (2919937644).

Almost surely, 2103113101322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103113101322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140157006912).

103113101322 is an abundant number, since it is smaller than the sum of its proper divisors (177200912502).

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

103113101322 is a wasteful number, since it uses less digits than its factorization.

103113101322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474044 (or 474041 counting only the distinct ones).

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

Adding to 103113101322 its reverse (223101311301), we get a palindrome (326214412623).

The spelling of 103113101322 in words is "one hundred three billion, one hundred thirteen million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 157 198 231 314 462 471 693 942 1099 1386 1413 1727 2198 2826 3297 3454 5181 6594 9891 10362 12089 15543 19782 24178 31086 36267 72534 108801 217602 473861 947722 1421583 2843166 3317027 4264749 5212471 6634054 8529498 9951081 10424942 15637413 19902162 29853243 31274826 36487297 46912239 59706486 72974594 74396177 93824478 109461891 148792354 218923782 223188531 328385673 446377062 520773239 656771346 669565593 818357947 1041546478 1339131186 1562319717 1636715894 2455073841 3124639434 4686959151 4910147682 5728505629 7365221523 9373918302 11457011258 14730443046 17185516887 34371033774 51556550661 103113101322