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11220101201100 = 2235211328099427
BaseRepresentation
bin1010001101000110001000…
…1001010111110011001100
31110201122001010220011212110
42203101202021113303030
52432312231401413400
635510235432104020
72235424365421221
oct243214211276314
943648033804773
1011220101201100
113636466691000
121312645235010
1363508809225c
142ab0ad163948
15146cd96d9e50
hexa3462257ccc

11220101201100 has 144 divisors (see below), whose sum is σ = 35707404329856. Its totient is φ = 2720024436800.

The previous prime is 11220101201087. The next prime is 11220101201143. The reversal of 11220101201100 is 110210102211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 13650414 + ... + 14449013.

It is an arithmetic number, because the mean of its divisors is an integer number (247968085624).

Almost surely, 211220101201100 is an apocalyptic number.

11220101201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220101201100 is an abundant number, since it is smaller than the sum of its proper divisors (24487303128756).

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

11220101201100 is a wasteful number, since it uses less digits than its factorization.

11220101201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28099477 (or 28099448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11220101201100 its reverse (110210102211), we get a palindrome (11330311303311).

The spelling of 11220101201100 in words is "eleven trillion, two hundred twenty billion, one hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1331 1452 1650 1815 2420 2662 3025 3300 3630 3993 5324 6050 6655 7260 7986 9075 12100 13310 15972 18150 19965 26620 33275 36300 39930 66550 79860 99825 133100 199650 399300 28099427 56198854 84298281 112397708 140497135 168596562 280994270 309093697 337193124 421491405 561988540 618187394 702485675 842982810 927281091 1236374788 1404971350 1545468485 1685965620 1854562182 2107457025 2809942700 3090936970 3400030667 3709124364 4214914050 4636405455 6181873940 6800061334 7727342425 8429828100 9272810910 10200092001 13600122668 15454684850 17000153335 18545621820 20400184002 23182027275 30909369700 34000306670 37400337337 40800368004 46364054550 51000460005 68000613340 74800674674 85000766675 92728109100 102000920010 112201012011 149601349348 170001533350 187001686685 204001840020 224402024022 255002300025 340003066700 374003373370 448804048044 510004600050 561005060055 748006746740 935008433425 1020009200100 1122010120110 1870016866850 2244020240220 2805025300275 3740033733700 5610050600550 11220101201100