Search a number
-
+
10220221122012 = 22321122346239927
BaseRepresentation
bin1001010010111001010010…
…1001100100010111011100
31100012001011210010100221200
42110232110221210113130
52314422003101401022
633423034343555500
72103246415113636
oct224562451442734
940161153110850
1010220221122012
11329040a423500
1211908b745bb90
135919bb8c3645
14274938a15a56
1512acb8760bac
hex94b94a645dc

10220221122012 has 54 divisors (see below), whose sum is σ = 28396541848584. Its totient is φ = 3097036702320.

The previous prime is 10220221121989. The next prime is 10220221122031. The reversal of 10220221122012 is 21022112202201.

It is a happy number.

10220221122012 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 211 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1173115608 + ... + 1173124319.

Almost surely, 210220221122012 is an apocalyptic number.

10220221122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220221122012 is an abundant number, since it is smaller than the sum of its proper divisors (18176320726572).

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

10220221122012 is a wasteful number, since it uses less digits than its factorization.

10220221122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346239959 (or 2346239943 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10220221122012 its reverse (21022112202201), we get a palindrome (31242333324213).

It can be divided in two parts, 10 and 220221122012, that added together give a palindrome (220221122022).

The spelling of 10220221122012 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 2346239927 4692479854 7038719781 9384959708 14077439562 21116159343 25808639197 28154879124 42232318686 51617278394 77425917591 84464637372 103234556788 154851835182 232277752773 283895031167 309703670364 464555505546 567790062334 851685093501 929111011092 1135580124668 1703370187002 2555055280503 3406740374004 5110110561006 10220221122012