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31320214002 = 23371153142123
BaseRepresentation
bin11101001010110101…
…001000100111110010
32222211202111201112000
4131022311020213302
51003120433322002
622215512514430
72156100266160
oct351265104762
988752451460
1031320214002
1112312498390
1260a10aba16
132c51a59a0c
14173190c230
15c349ad61c
hex74ad489f2

31320214002 has 128 divisors (see below), whose sum is σ = 88412497920. Its totient is φ = 7981571520.

The previous prime is 31320213983. The next prime is 31320214007. The reversal of 31320214002 is 20041202313.

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

It is not an unprimeable number, because it can be changed into a prime (31320214007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149313 + ... + 291435.

It is an arithmetic number, because the mean of its divisors is an integer number (690722640).

Almost surely, 231320214002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320214002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44206248960).

31320214002 is an abundant number, since it is smaller than the sum of its proper divisors (57092283918).

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

31320214002 is a wasteful number, since it uses less digits than its factorization.

31320214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142205 (or 142199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31320214002 its reverse (20041202313), we get a palindrome (51361416315).

The spelling of 31320214002 in words is "thirty-one billion, three hundred twenty million, two hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 53 54 63 66 77 99 106 126 154 159 189 198 231 297 318 371 378 462 477 583 594 693 742 954 1113 1166 1386 1431 1749 2079 2226 2862 3339 3498 4081 4158 5247 6678 8162 10017 10494 12243 15741 20034 24486 31482 36729 73458 110187 142123 220374 284246 426369 852738 994861 1279107 1563353 1989722 2558214 2984583 3126706 3837321 4690059 5969166 7532519 7674642 8953749 9380118 10943471 14070177 15065038 17907498 21886942 22597557 26861247 28140354 32830413 42210531 45195114 52727633 53722494 65660826 67792671 82857709 84421062 98491239 105455266 135585342 158182899 165715418 196982478 203378013 248573127 295473717 316365798 406756026 474548697 497146254 580003963 590947434 745719381 949097394 1160007926 1423646091 1491438762 1740011889 2237158143 2847292182 3480023778 4474316286 5220035667 10440071334 15660107001 31320214002