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101452231417712 = 2471912722955851
BaseRepresentation
bin10111000100010100110000…
…001101110001111101110000
3111022012201221102221021000212
4113010110300031301331300
5101244143132220331322
6555434302310003252
730240452604416120
oct2704246015617560
9438181842837025
10101452231417712
112a36471686568a
12b466157046528
13447bb9aba1536
141b0a458246c80
15bae01314a0e2
hex5c4530371f70

101452231417712 has 120 divisors (see below), whose sum is σ = 238344298381440. Its totient is φ = 40866778108800.

The previous prime is 101452231417633. The next prime is 101452231417729. The reversal of 101452231417712 is 217714132254101.

It is a self number, because there is not a number n which added to its sum of digits gives 101452231417712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32844587 + ... + 35800437.

It is an arithmetic number, because the mean of its divisors is an integer number (1986202486512).

Almost surely, 2101452231417712 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 101452231417712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119172149190720).

101452231417712 is an abundant number, since it is smaller than the sum of its proper divisors (136892066963728).

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

101452231417712 is a wasteful number, since it uses less digits than its factorization.

101452231417712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956139 (or 2956006 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 101452231417712 in words is "one hundred one trillion, four hundred fifty-two billion, two hundred thirty-one million, four hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 127 133 152 254 266 304 508 532 889 1016 1064 1778 2032 2128 2413 3556 4826 7112 9652 14224 16129 16891 19304 32258 33782 38608 64516 67564 112903 129032 135128 225806 258064 270256 306451 451612 612902 903224 1225804 1806448 2145157 2451608 2955851 4290314 4903216 5911702 8580628 11823404 17161256 20690957 23646808 34322512 41381914 47293616 56161169 82763828 112322338 165527656 224644676 331055312 375393077 393128183 449289352 750786154 786256366 898578704 1501572308 1572512732 2627751539 3003144616 3145025464 5255503078 6006289232 6290050928 7132468463 10511006156 14264936926 21022012312 28529873852 42044024624 47674920779 49927279241 57059747704 95349841558 99854558482 114119495408 190699683116 199709116964 333724445453 381399366232 399418233928 667448890906 762798732464 798836467856 905823494801 1334897781812 1811646989602 2669795563624 3623293979204 5339591127248 6340764463607 7246587958408 12681528927214 14493175916816 25363057854428 50726115708856 101452231417712