Search a number
-
+
10222211202000 = 243537243385981
BaseRepresentation
bin1001010011000000101101…
…0001000111101111010000
31100012020022110210220110220
42110300023101013233100
52314440042031431000
633424004034153040
72103346631401260
oct224601321075720
940166273726426
1010222211202000
113291240805006
121191171a22780
13591c47ca6675
14274a8704b7a0
1512ad833141a0
hex94c0b447bd0

10222211202000 has 160 divisors (see below), whose sum is σ = 37664467486464. Its totient is φ = 2336505408000.

The previous prime is 10222211201941. The next prime is 10222211202031. The reversal of 10222211202000 is 20211222201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121650991 + ... + 121734990.

Almost surely, 210222211202000 is an apocalyptic number.

10222211202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222211202000 is an abundant number, since it is smaller than the sum of its proper divisors (27442256284464).

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

10222211202000 is a wasteful number, since it uses less digits than its factorization.

10222211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243386014 (or 243385998 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222211202000 its reverse (20211222201), we get a palindrome (10242422424201).

The spelling of 10222211202000 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 243385981 486771962 730157943 973543924 1216929905 1460315886 1703701867 1947087848 2433859810 2920631772 3407403734 3650789715 3894175696 4867719620 5111105601 5841263544 6084649525 6814807468 7301579430 8518509335 9735439240 10222211202 11682527088 12169299050 13629614936 14603158860 17037018670 18253948575 19470878480 20444422404 24338598100 25555528005 27259229872 29206317720 30423247625 34074037340 36507897150 40888844808 42592546675 48677196200 51111056010 58412635440 60846495250 68148074680 73015794300 81777689616 85185093350 91269742875 97354392400 102222112020 121692990500 127777640025 136296149360 146031588600 170370186700 182539485750 204444224040 212962733375 243385981000 255555280050 292063177200 340740373400 365078971500 408888448080 425925466750 486771962000 511110560100 638888200125 681480746800 730157943000 851850933500 1022221120200 1277776400250 1460315886000 1703701867000 2044442240400 2555552800500 3407403734000 5111105601000 10222211202000