Search a number
-
+
10041200401023 = 33111721154717231
BaseRepresentation
bin1001001000011110011000…
…1011101101101001111111
31022112221002112001110222000
42102013212023231221333
52304003334300313043
633204510324353343
72054311210103451
oct222074613555177
938487075043860
1010041200401023
1132214a3942120
121162075845853
1357ab5bb1293c
14269dd4cd22d1
151262dbee42d3
hex921e62eda7f

10041200401023 has 128 divisors (see below), whose sum is σ = 17296803348480. Its totient is φ = 5689704384000.

The previous prime is 10041200400997. The next prime is 10041200401033. The reversal of 10041200401023 is 32010400214001.

10041200401023 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 200 + 401 + 0 + 23 = 666.

It is not a de Polignac number, because 10041200401023 - 228 = 10040931965567 is a prime.

It is a super-3 number, since 3×100412004010233 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10041200400987 and 10041200401005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041200401033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 582731818 + ... + 582749048.

It is an arithmetic number, because the mean of its divisors is an integer number (135131276160).

Almost surely, 210041200401023 is an apocalyptic number.

10041200401023 is a deficient number, since it is larger than the sum of its proper divisors (7255602947457).

10041200401023 is a wasteful number, since it uses less digits than its factorization.

10041200401023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18026 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10041200401023 its reverse (32010400214001), we get a palindrome (42051600615024).

The spelling of 10041200401023 in words is "ten trillion, forty-one billion, two hundred million, four hundred one thousand, twenty-three".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 211 297 459 547 561 633 1641 1683 1899 2321 3587 4923 5049 5697 6017 6963 9299 10761 14769 17231 18051 20889 27897 32283 39457 51693 54153 62667 83691 96849 102289 115417 118371 155079 162459 189541 251073 292927 306867 346251 355113 465237 568623 878781 920601 1038753 1065339 1269587 1705869 1962089 2636343 2761803 3116259 3222197 3635741 3808761 5117607 5886267 7909029 9425357 9666591 10907223 11426283 17658801 21582979 28276071 28999773 32721669 34278849 39993151 52976403 61807597 64748937 84828213 86999319 98165007 103678927 119979453 160231069 185422791 194246811 254484639 311036781 359938359 480693207 556268373 582740433 679883567 933110343 1079815077 1442079621 1668805119 1762541759 1988750327 2039650701 2799331029 4326238863 5287625277 5966250981 6118952103 15862875831 17898752943 18356856309 21876253597 33808755559 47588627493 53696258829 65628760791 101426266677 196886282373 304278800031 371896311149 590658847119 912836400093 1115688933447 3347066800341 10041200401023