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4424022210102 = 2311732275417477
BaseRepresentation
bin100000001100000110001…
…0001011011011000110110
3120122221011201021210011020
41000120030101123120312
51034440344141210402
613224211233322010
7634424252220105
oct100301421333066
916587151253136
104424022210102
111456243226a70
125b54a4106306
1326125020b481
141141a3a8003c
157a12b7d08bc
hex4060c45b636

4424022210102 has 128 divisors (see below), whose sum is σ = 9847223751168. Its totient is φ = 1313814297600.

The previous prime is 4424022210073. The next prime is 4424022210109. The reversal of 4424022210102 is 2010122204244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424022210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591680388 + ... + 591687864.

It is an arithmetic number, because the mean of its divisors is an integer number (76931435556).

Almost surely, 24424022210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424022210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923611875584).

4424022210102 is an abundant number, since it is smaller than the sum of its proper divisors (5423201541066).

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

4424022210102 is a wasteful number, since it uses less digits than its factorization.

4424022210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4424022210102 its reverse (2010122204244), we get a palindrome (6434144414346).

The spelling of 4424022210102 in words is "four trillion, four hundred twenty-four billion, twenty-two million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 227 438 454 541 681 803 1082 1362 1606 1623 2409 2497 3246 4818 4994 5951 7477 7491 11902 14954 14982 16571 17853 22431 33142 35706 39493 44862 49713 78986 82247 99426 118479 122807 164494 182281 236958 245614 246741 364562 368421 434423 493482 545821 546843 736842 868846 1091642 1093686 1303269 1350877 1637463 1697279 2606538 2701754 3274926 3394558 4045057 4052631 5091837 6004031 8090114 8105262 8964911 10183674 12008062 12135171 17929822 18012093 18670069 24270342 26894733 36024186 37340138 44495627 53789466 56010207 88991254 98614021 112020414 123901367 133486881 197228042 247802734 266973762 295289161 295842063 371704101 590578322 591684126 743408202 885867483 918227939 1362915037 1771734966 1836455878 2725830074 2754683817 3248180771 4088745111 5509367634 6496361542 8177490222 9744542313 10100507329 19489084626 20201014658 30301521987 60603043974 67030639547 134061279094 201091918641 402183837282 737337035017 1474674070034 2212011105051 4424022210102