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11100011020020 = 22335132121630627
BaseRepresentation
bin1010000110000110110000…
…1101101011111011110100
31110022011001212000220012000
42201201230031223323310
52423330310310120040
635335135154455300
72223643422630216
oct241415415537364
943264055026160
1011100011020020
11359a54093156a
1212b330b294530
1362695a2c1700
142a5359c645b6
15143b0b86e130
hexa186c36bef4

11100011020020 has 144 divisors (see below), whose sum is σ = 37394120272320. Its totient is φ = 2732310382464.

The previous prime is 11100011019983. The next prime is 11100011020057. The reversal of 11100011020020 is 2002011000111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11100011019983) and next prime (11100011020057).

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 = 11100011019984 and 11100011020011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60724054 + ... + 60906573.

It is an arithmetic number, because the mean of its divisors is an integer number (259681390780).

Almost surely, 211100011020020 is an apocalyptic number.

11100011020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100011020020 is an abundant number, since it is smaller than the sum of its proper divisors (26294109252300).

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

11100011020020 is a wasteful number, since it uses less digits than its factorization.

11100011020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121630671 (or 121630650 counting only the distinct ones).

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

Adding to 11100011020020 its reverse (2002011000111), we get a palindrome (13102022020131).

The spelling of 11100011020020 in words is "eleven trillion, one hundred billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 91260 121630627 243261254 364891881 486522508 608153135 729783762 1094675643 1216306270 1459567524 1581198151 1824459405 2189351286 2432612540 3162396302 3284026929 3648918810 4378702572 4743594453 5473378215 6324792604 6568053858 7297837620 7905990755 9487188906 10946756430 13136107716 14230783359 15811981510 16420134645 18974377812 20555575963 21893512860 23717972265 28461566718 31623963020 32840269290 41111151926 42692350077 47435944530 56923133436 61666727889 65680538580 71153916795 82222303852 85384700154 94871889060 102777879815 123333455778 142307833590 170769400308 185000183667 205555759630 213461750385 246666911556 284615667180 308333639445 370000367334 411111519260 426923500770 555000551001 616667278890 740000734668 853847001540 925000918335 1110001102002 1233334557780 1850001836670 2220002204004 2775002755005 3700003673340 5550005510010 11100011020020