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20402131041225 = 325241106111511811
BaseRepresentation
bin1001010001110001111011…
…10001011111101111001001
32200020102110120221222122100
410220320331301133233021
510133232031021304400
6111220335401544013
74204001553333033
oct450707561375711
980212416858570
1020402131041225
11655654a0aa22a
1223560a04a5009
13b4cbb328aacb
1450767b46ac53
15255a8d8c9100
hex128e3dc5fbc9

20402131041225 has 144 divisors (see below), whose sum is σ = 37522306418688. Its totient is φ = 10590672000000.

The previous prime is 20402131041211. The next prime is 20402131041241. The reversal of 20402131041225 is 52214013120402.

20402131041225 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 213 + 10 + 412 + 25 = 666.

It is not a de Polignac number, because 20402131041225 - 210 = 20402131040201 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11265670570 + ... + 11265672380.

It is an arithmetic number, because the mean of its divisors is an integer number (260571572352).

Almost surely, 220402131041225 is an apocalyptic number.

20402131041225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20402131041225 is a deficient number, since it is larger than the sum of its proper divisors (17120175377463).

20402131041225 is a wasteful number, since it uses less digits than its factorization.

20402131041225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20402131041225 its reverse (52214013120402), we get a palindrome (72616144161627).

The spelling of 20402131041225 in words is "twenty trillion, four hundred two billion, one hundred thirty-one million, forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1061 1151 1811 1845 3075 3183 3453 5305 5433 5755 9055 9225 9549 10359 15915 16299 17265 26525 27165 28775 43501 45275 47191 47745 51795 74251 79575 81495 86325 130503 135825 141573 217505 222753 235955 238725 258975 371255 391509 407475 424719 652515 668259 707865 1087525 1113765 1179775 1221211 1856275 1921471 1957545 2084461 2123595 3262575 3341295 3539325 3663633 5568825 5764413 6106055 6253383 9607355 9787725 10422305 10617975 10990899 16706475 17293239 18318165 18760149 28822065 30530275 31266915 48036775 50069651 52111525 54954495 78780311 85462901 86466195 91590825 93800745 144110325 150208953 156334575 236340933 250348255 256388703 274772475 393901555 427314505 432330975 450626859 469003725 709022799 751044765 769166109 1181704665 1251741275 1281943515 1969507775 2136572525 2211613121 2253134295 3545113995 3755223825 3845830545 5908523325 6409717575 6634839363 11058065605 11265671475 17725569975 19229152725 19904518089 33174196815 55290328025 90676137961 99522590445 165870984075 272028413883 453380689805 497612952225 816085241649 1360142069415 2266903449025 4080426208245 6800710347075 20402131041225