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10031271744204 = 22322371401942457
BaseRepresentation
bin1001000111111001011001…
…1000111001001011001100
31022111222110120112110021200
42101332112120321023030
52303323021031303304
633200145211025500
72053510156651224
oct221762630711314
938458416473250
1010031271744204
113218269426317
12116016473b290
13579c38b44489
14269732421084
15125e0a529e39
hex91f966392cc

10031271744204 has 144 divisors (see below), whose sum is σ = 26839271047680. Its totient is φ = 3152470083840.

The previous prime is 10031271744203. The next prime is 10031271744217. The reversal of 10031271744204 is 40244717213001.

10031271744204 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 71 + 74 + 4 + 204 = 666.

10031271744204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10031271744203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236247744 + ... + 236290200.

It is an arithmetic number, because the mean of its divisors is an integer number (186383826720).

Almost surely, 210031271744204 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 10031271744204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13419635523840).

10031271744204 is an abundant number, since it is smaller than the sum of its proper divisors (16807999303476).

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

10031271744204 is a wasteful number, since it uses less digits than its factorization.

10031271744204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46580 (or 46575 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 10031271744204 its reverse (40244717213001), we get a palindrome (50275988957205).

The spelling of 10031271744204 in words is "ten trillion, thirty-one billion, two hundred seventy-one million, seven hundred forty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 92 138 142 207 213 276 284 414 426 639 828 852 1278 1633 2556 3266 4019 4899 6532 8038 9798 12057 14697 16076 19596 24114 29394 36171 42457 48228 58788 72342 84914 92437 127371 144684 169828 184874 254742 277311 285349 369748 382113 509484 554622 570698 764226 831933 856047 976511 1109244 1141396 1528452 1663866 1712094 1953022 2568141 2929533 3014447 3327732 3424188 3906044 5136282 5859066 6028894 6563027 8788599 9043341 10272564 11718132 12057788 13126054 17577198 18086682 19689081 26252108 27130023 35154396 36173364 39378162 54260046 59067243 69332281 78756324 108520092 118134486 138664562 170634683 207996843 236268972 277329124 341269366 415993686 511904049 623990529 682538732 831987372 1023808098 1247981058 1535712147 2047616196 2495962116 3071424294 3924597709 6142848588 7849195418 11773793127 12115062493 15698390836 23547586254 24230124986 35321379381 36345187479 47095172508 48460249972 70642758762 72690374958 109035562437 141285517524 145380749916 218071124874 278646437339 436142249748 557292874678 835939312017 1114585749356 1671878624034 2507817936051 3343757248068 5015635872102 10031271744204