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1220021220100 = 22524712719910271
BaseRepresentation
bin10001110000001110111…
…011100111001100000100
311022122002101011110201211
4101300032323213030010
5124442100413020400
62332245304501204
7154100156160064
oct21601673471404
94278071143654
101220021220100
1143045419a091
1217854677a804
138b0804b21c7
14430995753a4
1521b07748dba
hex11c0eee7304

1220021220100 has 144 divisors (see below), whose sum is σ = 2739024691200. Its totient is φ = 471437366400.

The previous prime is 1220021220071. The next prime is 1220021220101. The reversal of 1220021220100 is 10221200221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1220021220101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 118777965 + ... + 118788235.

It is an arithmetic number, because the mean of its divisors is an integer number (19021004800).

Almost surely, 21220021220100 is an apocalyptic number.

1220021220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220021220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369512345600).

1220021220100 is an abundant number, since it is smaller than the sum of its proper divisors (1519003471100).

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

1220021220100 is a wasteful number, since it uses less digits than its factorization.

1220021220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1220021220100 its reverse (10221200221), we get a palindrome (1230242420321).

The spelling of 1220021220100 in words is "one trillion, two hundred twenty billion, twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 127 188 199 235 254 398 470 508 635 796 940 995 1175 1270 1990 2350 2540 3175 3980 4700 4975 5969 6350 9353 9950 10271 11938 12700 18706 19900 20542 23876 25273 29845 37412 41084 46765 50546 51355 59690 93530 101092 102710 119380 126365 149225 187060 205420 233825 252730 256775 298450 467650 482737 505460 513550 596900 631825 935300 965474 1027100 1187831 1263650 1304417 1930948 2043929 2375662 2413685 2527300 2608834 4087858 4751324 4827370 5217668 5939155 6522085 8175716 9654740 10219645 11878310 12068425 13044170 20439290 23756620 24136850 26088340 29695775 32610425 40878580 48273700 51098225 59391550 61307599 65220850 96064663 102196450 118783100 122615198 130441700 192129326 204392900 245230396 259578983 306537995 384258652 480323315 519157966 613075990 960646630 1038315932 1226151980 1297894915 1532689975 1921293260 2401616575 2595789830 3065379950 4803233150 5191579660 6130759900 6489474575 9606466300 12200212201 12978949150 24400424402 25957898300 48800848804 61001061005 122002122010 244004244020 305005305025 610010610050 1220021220100