Search a number
-
+
30203210111022 = 232131583666112241
BaseRepresentation
bin1101101111000001110111…
…00111000001100000101110
310221221101202122100222110100
412313200323213001200232
512424322133242023042
6144123055125051530
76235052463004404
oct667407347014056
9127841678328410
1030203210111022
119695122791173
123479701b56ba6
1313b11c582a1b0
14765bb3929474
153759c4e9724c
hex1b783b9c182e

30203210111022 has 96 divisors (see below), whose sum is σ = 70535024816256. Its totient is φ = 9285271833600.

The previous prime is 30203210111021. The next prime is 30203210111027. The reversal of 30203210111022 is 22011101230203.

30203210111022 is a `hidden beast` number, since 302 + 0 + 321 + 0 + 11 + 10 + 22 = 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 = 30203210110986 and 30203210111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30203210111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2467374822 + ... + 2467387062.

It is an arithmetic number, because the mean of its divisors is an integer number (734739841836).

Almost surely, 230203210111022 is an apocalyptic number.

30203210111022 is an abundant number, since it is smaller than the sum of its proper divisors (40331814705234).

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

30203210111022 is a wasteful number, since it uses less digits than its factorization.

30203210111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506 (or 20503 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30203210111022 its reverse (22011101230203), we get a palindrome (52214311341225).

The spelling of 30203210111022 in words is "thirty trillion, two hundred three billion, two hundred ten million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1583 3166 4749 6661 9498 12241 13322 14247 19983 20579 24482 28494 36723 39966 41158 59949 61737 73446 86593 110169 119898 123474 159133 173186 185211 220338 259779 318266 370422 477399 519558 779337 954798 1432197 1558674 2864394 10544363 19377503 21088726 31633089 38755006 58132509 63266178 81537301 94899267 116265018 137076719 163074602 174397527 189798534 244611903 251907539 274153438 348795054 411230157 489223806 503815078 733835709 755722617 822460314 1059984913 1233690471 1467671418 1511445234 2119969826 2267167851 2467380942 3179954739 4534335702 6359909478 9539864217 19079728434 129073547483 258147094966 387220642449 774441284898 1161661927347 1677956117279 2323323854694 3355912234558 5033868351837 10067736703674 15101605055511 30203210111022