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10200101110020 = 223251051387713907
BaseRepresentation
bin1001010001101110010101…
…1001110100000100000100
31100010010020120202212012100
42110123211121310010010
52314104301341010040
633405510050152100
72101635004615563
oct224334531640404
940103216685170
1010200101110020
113282925184718
121188a21282630
1358cb333b94c3
1427398a80dbda
1512a4dc1dab30
hex946e5674104

10200101110020 has 144 divisors (see below), whose sum is σ = 30979961183808. Its totient is φ = 2716542662400.

The previous prime is 10200101110019. The next prime is 10200101110037. The reversal of 10200101110020 is 2001110100201.

It is a happy number.

It is a super-2 number, since 2×102001011100202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200101109984 and 10200101110011.

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, 733443907 + ... + 733457813.

It is an arithmetic number, because the mean of its divisors is an integer number (215138619332).

Almost surely, 210200101110020 is an apocalyptic number.

10200101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200101110020 is an abundant number, since it is smaller than the sum of its proper divisors (20779860073788).

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

10200101110020 is a wasteful number, since it uses less digits than its factorization.

10200101110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18850 (or 18845 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200101110020 its reverse (2001110100201), we get a palindrome (12201211210221).

The spelling of 10200101110020 in words is "ten trillion, two hundred billion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1051 2102 3153 3877 4204 5255 6306 7754 9459 10510 11631 12612 13907 15508 15765 18918 19385 21020 23262 27814 31530 34893 37836 38770 41721 46524 47295 55628 58155 63060 69535 69786 77540 83442 94590 116310 125163 139070 139572 166884 174465 189180 208605 232620 250326 278140 348930 417210 500652 625815 697860 834420 1251630 2503260 4074727 8149454 12224181 14616257 16298908 20373635 24448362 29232514 36672543 40747270 43848771 48896724 53917439 58465028 61120905 73081285 73345086 81494540 87697542 107834878 122241810 131546313 146162570 146690172 161752317 175395084 183362715 215669756 219243855 244483620 263092626 269587195 292325140 323504634 366725430 438487710 485256951 526185252 539174390 647009268 657731565 733450860 808761585 876975420 970513902 1078348780 1315463130 1617523170 1941027804 2426284755 2630926260 3235046340 4852569510 9705139020 56667228389 113334456778 170001685167 226668913556 283336141945 340003370334 510005055501 566672283890 680006740668 850008425835 1020010111002 1133344567780 1700016851670 2040020222004 2550025277505 3400033703340 5100050555010 10200101110020