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31322030430 = 23523731135503
BaseRepresentation
bin11101001010111100…
…000100000101011110
32222211212221000012010
4131022330010011132
51003121414433210
622220015452050
72156121602655
oct351274040536
988755830163
1031322030430
1112313519069
1260a1827026
132c52244722
141731c6219c
15c34c1b920
hex74af0415e

31322030430 has 128 divisors (see below), whose sum is σ = 80234053632. Its totient is φ = 7808790528.

The previous prime is 31322030353. The next prime is 31322030473. The reversal of 31322030430 is 3403022313.

It is a junction number, because it is equal to n+sod(n) for n = 31322030397 and 31322030406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5689059 + ... + 5694561.

It is an arithmetic number, because the mean of its divisors is an integer number (626828544).

Almost surely, 231322030430 is an apocalyptic number.

31322030430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322030430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40117026816).

31322030430 is an abundant number, since it is smaller than the sum of its proper divisors (48912023202).

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

31322030430 is a wasteful number, since it uses less digits than its factorization.

31322030430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 31322030430 its reverse (3403022313), we get a palindrome (34725052743).

The spelling of 31322030430 in words is "thirty-one billion, three hundred twenty-two million, thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 113 115 138 146 219 226 230 339 345 365 438 565 678 690 730 1095 1130 1679 1695 2190 2599 3358 3390 5037 5198 5503 7797 8249 8395 10074 11006 12995 15594 16498 16509 16790 24747 25185 25990 27515 33018 38985 41245 49494 50370 55030 77970 82490 82545 123735 126569 165090 189727 247470 253138 379454 379707 401719 569181 621839 632845 759414 803438 948635 1138362 1205157 1243678 1265690 1865517 1897270 1898535 2008595 2410314 2845905 3109195 3731034 3797070 4017190 5691810 6025785 6218390 9239537 9327585 12051570 14302297 18479074 18655170 27718611 28604594 42906891 45394247 46197685 55437222 71511485 85813782 90788494 92395370 136182741 138593055 143022970 214534455 226971235 272365482 277186110 429068910 453942470 680913705 1044067681 1361827410 2088135362 3132203043 5220338405 6264406086 10440676810 15661015215 31322030430