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31323201030 = 232511213920693
BaseRepresentation
bin11101001011000000…
…100001111000000110
32222211222010110221200
4131023000201320012
51003122214413110
622220100523330
72156134546542
oct351300417006
988758113850
1031323201030
1112314148600
1260a20b0546
132c525644a4
141732088a22
15c34d9d6c0
hex74b021e06

31323201030 has 144 divisors (see below), whose sum is σ = 90165413520. Its totient is φ = 7538509440.

The previous prime is 31323201011. The next prime is 31323201043. The reversal of 31323201030 is 3010232313.

31323201030 is a `hidden beast` number, since 313 + 2 + 320 + 1 + 0 + 30 = 666.

It is a super-2 number, since 2×313232010302 (a number of 22 digits) contains 22 as substring.

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 = 31323200994 and 31323201012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1503364 + ... + 1524056.

It is an arithmetic number, because the mean of its divisors is an integer number (626148705).

Almost surely, 231323201030 is an apocalyptic number.

31323201030 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 31323201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45082706760).

31323201030 is an abundant number, since it is smaller than the sum of its proper divisors (58842212490).

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

31323201030 is a wasteful number, since it uses less digits than its factorization.

31323201030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20867 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31323201030 its reverse (3010232313), we get a palindrome (34333433343).

The spelling of 31323201030 in words is "thirty-one billion, three hundred twenty-three million, two hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 139 165 198 242 278 330 363 417 495 605 695 726 834 990 1089 1210 1251 1390 1529 1815 2085 2178 2502 3058 3630 4170 4587 5445 6255 7645 9174 10890 12510 13761 15290 16819 20693 22935 27522 33638 41386 45870 50457 62079 68805 84095 100914 103465 124158 137610 151371 168190 186237 206930 227623 252285 302742 310395 372474 455246 504570 620790 682869 756855 931185 1138115 1365738 1513710 1862370 2048607 2276230 2503853 2876327 3414345 4097214 5007706 5752654 6828690 7511559 8628981 10243035 12519265 14381635 15023118 17257962 20486070 22534677 25038530 25886943 28763270 31639597 37557795 43144905 45069354 51773886 63279194 75115590 86289810 94918791 112673385 129434715 158197985 189837582 225346770 258869430 284756373 316395970 348035567 474593955 569512746 696071134 949187910 1044106701 1423781865 1740177835 2088213402 2847563730 3132320103 3480355670 5220533505 6264640206 10441067010 15661600515 31323201030