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31012002000320 = 2651129330069037
BaseRepresentation
bin1110000110100100010110…
…10111001110110111000000
311001210201101201222222020112
413003102023113032313000
513031100040003002240
6145542414514130452
76350354214432635
oct703221327166700
9131721351888215
1031012002000320
119977130714480
12358a400880a28
13143c55b0bcc13
14792dbb7b218c
1538ba60058665
hex1c348b5cedc0

31012002000320 has 112 divisors (see below), whose sum is σ = 80835677340768. Its totient is φ = 11238602895360.

The previous prime is 31012002000293. The next prime is 31012002000323. The reversal of 31012002000320 is 2300020021013.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31012002000295 and 31012002000304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012002000323) 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, 14003159 + ... + 16065878.

It is an arithmetic number, because the mean of its divisors is an integer number (721747119114).

Almost surely, 231012002000320 is an apocalyptic number.

It is an amenable number.

31012002000320 is an abundant number, since it is smaller than the sum of its proper divisors (49823675340448).

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

31012002000320 is a wasteful number, since it uses less digits than its factorization.

31012002000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30069358 (or 30069348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31012002000320 its reverse (2300020021013), we get a palindrome (33312022021333).

The spelling of 31012002000320 in words is "thirty-one trillion, twelve billion, two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 293 320 352 440 586 704 880 1172 1465 1760 2344 2930 3223 3520 4688 5860 6446 9376 11720 12892 16115 18752 23440 25784 32230 46880 51568 64460 93760 103136 128920 206272 257840 515680 1031360 30069037 60138074 120276148 150345185 240552296 300690370 330759407 481104592 601380740 661518814 962209184 1202761480 1323037628 1653797035 1924418368 2405522960 2646075256 3307594070 4811045920 5292150512 6615188140 8810227841 9622091840 10584301024 13230376280 17620455682 21168602048 26460752560 35240911364 44051139205 52921505120 70481822728 88102278410 96912506251 105843010240 140963645456 176204556820 193825012502 281927290912 352409113640 387650025004 484562531255 563854581824 704818227280 775300050008 969125062510 1409636454560 1550600100016 1938250125020 2819272909120 3101200200032 3876500250040 6202400400064 7753000500080 15506001000160 31012002000320