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10220112001220 = 22511414931229781
BaseRepresentation
bin1001010010111000111000…
…1001010011100011000100
31100012000220011210110100212
42110232032021103203010
52314421242133014340
633423015445054552
72103243621443342
oct224561611234304
940160804713325
1010220112001220
113290363872430
1211908869b7458
135919a2108524
1427492832c992
1512acadda8a65
hex94b8e2538c4

10220112001220 has 96 divisors (see below), whose sum is σ = 23989373154432. Its totient is φ = 3625009280000.

The previous prime is 10220112001219. The next prime is 10220112001241. The reversal of 10220112001220 is 2210021102201.

It is a junction number, because it is equal to n+sod(n) for n = 10220112001195 and 10220112001204.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 44362730 + ... + 44592510.

It is an arithmetic number, because the mean of its divisors is an integer number (249889303692).

Almost surely, 210220112001220 is an apocalyptic number.

10220112001220 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 10220112001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994686577216).

10220112001220 is an abundant number, since it is smaller than the sum of its proper divisors (13769261153212).

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

10220112001220 is a wasteful number, since it uses less digits than its factorization.

10220112001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234773 (or 234771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10220112001220 its reverse (2210021102201), we get a palindrome (12430133103421).

The spelling of 10220112001220 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 4931 9020 9862 19724 24655 49310 54241 98620 108482 202171 216964 229781 271205 404342 459562 542410 808684 919124 1010855 1084820 1148905 2021710 2223881 2297810 2527591 4043420 4447762 4595620 5055182 8895524 9421021 10110364 11119405 12637955 18842042 22238810 25275910 37684084 44477620 47105105 50551820 94210210 103631231 188420420 207262462 414524924 518156155 1036312310 1133050111 2072624620 2266100222 4532200444 5665250555 11330501110 12463551221 22661002220 24927102442 46455054551 49854204884 62317756105 92910109102 124635512210 185820218204 232275272755 249271024420 464550545510 511005600061 929101091020 1022011200122 2044022400244 2555028000305 5110056000610 10220112001220