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10201223442410 = 2571113278392557
BaseRepresentation
bin1001010001110010100001…
…0011001010111111101010
31100010020010210122020210122
42110130220103022333222
52314114101200124120
633410213301443242
72102004553363640
oct224345023127752
940106123566718
1010201223442410
113283350762650
121189095110522
1358cc81a89100
14273a558c3190
1512a5559d3a25
hex947284cafea

10201223442410 has 96 divisors (see below), whose sum is σ = 24789608260992. Its totient is φ = 2935017296640.

The previous prime is 10201223442409. The next prime is 10201223442439. The reversal of 10201223442410 is 1424432210201.

10201223442410 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10201223442410.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39066149 + ... + 39326408.

It is an arithmetic number, because the mean of its divisors is an integer number (258225086052).

Almost surely, 210201223442410 is an apocalyptic number.

10201223442410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201223442410 is an abundant number, since it is smaller than the sum of its proper divisors (14588384818582).

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

10201223442410 is a wasteful number, since it uses less digits than its factorization.

10201223442410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78392608 (or 78392595 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10201223442410 its reverse (1424432210201), we get a palindrome (11625655652611).

The spelling of 10201223442410 in words is "ten trillion, two hundred one billion, two hundred twenty-three million, four hundred forty-two thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 169 182 286 338 385 455 715 770 845 910 1001 1183 1430 1690 1859 2002 2366 3718 5005 5915 9295 10010 11830 13013 18590 26026 65065 130130 78392557 156785114 391962785 548747899 783925570 862318127 1019103241 1097495798 1724636254 2038206482 2743739495 4311590635 5095516205 5487478990 6036226889 7133722687 8623181270 10191032410 11210135651 12072453778 13248342133 14267445374 22420271302 26496684266 30181134445 35668613435 56050678255 60362268890 66241710665 71337226870 78470949557 92738394931 112101356510 132483421330 145731763463 156941899114 185476789862 291463526926 392354747785 463691974655 728658817315 784709495570 927383949310 1020122344241 1457317634630 2040244688482 5100611721205 10201223442410