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31006277004 = 22319231373619
BaseRepresentation
bin11100111000000111…
…100011110110001100
32222000212210001220210
4130320013203312030
51002000101331004
622124420042420
72145236002023
oct347007436614
988025701823
1031006277004
111217126491a
126013b33410
132c019bc391
141701d4b8ba
15c1714a089
hex7381e3d8c

31006277004 has 144 divisors (see below), whose sum is σ = 79158266880. Its totient is φ = 9434931840.

The previous prime is 31006276969. The next prime is 31006277011. The reversal of 31006277004 is 40077260013.

It is a super-2 number, since 2×310062770042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50090607 + ... + 50091225.

Almost surely, 231006277004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31006277004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39579133440).

31006277004 is an abundant number, since it is smaller than the sum of its proper divisors (48151989876).

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

31006277004 is a wasteful number, since it uses less digits than its factorization.

31006277004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 31006277004 in words is "thirty-one billion, six million, two hundred seventy-seven thousand, four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 361 372 373 589 619 722 746 1083 1119 1178 1238 1444 1492 1767 1857 2166 2238 2356 2476 3534 3714 4332 4476 7068 7087 7428 11191 11563 11761 14174 19189 21261 22382 23126 23522 28348 33573 34689 35283 38378 42522 44764 46252 47044 57567 67146 69378 70566 76756 85044 115134 134292 134653 138756 141132 219697 223459 230268 230887 269306 364591 403959 439394 446918 461774 538612 659091 670377 692661 729182 807918 878788 893836 923548 1093773 1318182 1340754 1385322 1458364 1615836 2187546 2636364 2681508 2770644 4174243 4375092 4386853 6927229 7157497 8348486 8773706 12522729 13160559 13854458 14314994 16696972 17547412 20781687 21472491 25045458 26321118 27708916 28629988 41563374 42944982 50090916 52642236 83126748 83350207 85889964 135992443 166700414 250050621 271984886 333400828 407977329 500101242 543969772 815954658 1000202484 1631909316 2583856417 5167712834 7751569251 10335425668 15503138502 31006277004