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1220333033100 = 22352109123730169
BaseRepresentation
bin10001110000100001100…
…001000101011010001100
311022122220002220012202110
4101300201201011122030
5124443220224024400
62332340244024020
7154110663426636
oct21604141053214
94278802805673
101220333033100
114305a4201885
12178613092010
138b0ccc87b3c
14430c8b41a56
1521b24cdce50
hex11c2184568c

1220333033100 has 144 divisors (see below), whose sum is σ = 3566221920800. Its totient is φ = 322165278720.

The previous prime is 1220333033083. The next prime is 1220333033113. The reversal of 1220333033100 is 13303330221.

It is a super-2 number, since 2×12203330331002 (a number of 25 digits) contains 22 as substring.

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, 40434816 + ... + 40464984.

Almost surely, 21220333033100 is an apocalyptic number.

1220333033100 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 1220333033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783110960400).

1220333033100 is an abundant number, since it is smaller than the sum of its proper divisors (2345888887700).

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

1220333033100 is a wasteful number, since it uses less digits than its factorization.

1220333033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31532 (or 31525 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1220333033100 its reverse (13303330221), we get a palindrome (1233636363321).

The spelling of 1220333033100 in words is "one trillion, two hundred twenty billion, three hundred thirty-three million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1237 1308 1635 2180 2474 2725 3270 3711 4948 5450 6185 6540 7422 8175 10900 12370 14844 16350 18555 24740 30169 30925 32700 37110 60338 61850 74220 90507 92775 120676 123700 134833 150845 181014 185550 269666 301690 362028 371100 404499 452535 539332 603380 674165 754225 808998 905070 1348330 1508450 1617996 1810140 2022495 2262675 2696660 3016900 3288421 3370825 4044990 4525350 6576842 6741650 8089980 9050700 9865263 10112475 13153684 13483300 16442105 19730526 20224950 32884210 37319053 39461052 40449900 49326315 65768420 74638106 82210525 98652630 111957159 149276212 164421050 186595265 197305260 223914318 246631575 328842100 373190530 447828636 493263150 559785795 746381060 932976325 986526300 1119571590 1865952650 2239143180 2798928975 3731905300 4067776777 5597857950 8135553554 11195715900 12203330331 16271107108 20338883885 24406660662 40677767770 48813321324 61016651655 81355535540 101694419425 122033303310 203388838850 244066606620 305083258275 406777677700 610166516550 1220333033100