Search a number
-
+
10030212011120 = 2457109164321953
BaseRepresentation
bin1001000111110101011100…
…1110010101010001110000
31022111212201201110102210012
42101331113032111101300
52303313333233323440
633155452113154052
72053442001244340
oct221752716252160
938455651412705
1010030212011120
113217875214154
12115bb0985b928
13579aca421992
142696717a4d20
15125d97499e65
hex91f57395470

10030212011120 has 80 divisors (see below), whose sum is σ = 26896217430720. Its totient is φ = 3407379996672.

The previous prime is 10030212011117. The next prime is 10030212011123. The reversal of 10030212011120 is 2111021203001.

10030212011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10030212011117) and next prime (10030212011123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10030212011095 and 10030212011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030212011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82099937 + ... + 82222016.

It is an arithmetic number, because the mean of its divisors is an integer number (336202717884).

Almost surely, 210030212011120 is an apocalyptic number.

10030212011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10030212011120 is an abundant number, since it is smaller than the sum of its proper divisors (16866005419600).

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

10030212011120 is a wasteful number, since it uses less digits than its factorization.

10030212011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164322082 (or 164322076 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10030212011120 its reverse (2111021203001), we get a palindrome (12141233214121).

The spelling of 10030212011120 in words is "ten trillion, thirty billion, two hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 436 545 560 763 872 1090 1526 1744 2180 3052 3815 4360 6104 7630 8720 12208 15260 30520 61040 164321953 328643906 657287812 821609765 1150253671 1314575624 1643219530 2300507342 2629151248 3286439060 4601014684 5751268355 6572878120 9202029368 11502536710 13145756240 17911092877 18404058736 23005073420 35822185754 46010146840 71644371508 89555464385 92020293680 125377650139 143288743016 179110928770 250755300278 286577486032 358221857540 501510600556 626888250695 716443715080 1003021201112 1253776501390 1432887430160 2006042402224 2507553002780 5015106005560 10030212011120