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1220451012 = 22321121716481
BaseRepresentation
bin100100010111110…
…1001101011000100
310011001111100001100
41020233221223010
54444413413022
6321034300100
742146443134
oct11057515304
93131440040
101220451012
11576a04a00
122a0887630
13165b04c81
14b8134ac4
157222a1ac
hex48be9ac4

1220451012 has 108 divisors (see below), whose sum is σ = 3590669628. Its totient is φ = 348057600.

The previous prime is 1220450999. The next prime is 1220451053. The reversal of 1220451012 is 2101540221.

It can be written as a sum of positive squares in 2 ways, for example, as 728676036 + 491774976 = 26994^2 + 22176^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65812 + ... + 82292.

It is an arithmetic number, because the mean of its divisors is an integer number (33246941).

Almost surely, 21220451012 is an apocalyptic number.

1220451012 is a gapful number since it is divisible by the number (12) 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 1220451012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795334814).

1220451012 is an abundant number, since it is smaller than the sum of its proper divisors (2370218616).

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

1220451012 is a wasteful number, since it uses less digits than its factorization.

1220451012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16530 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1220451012 is about 34934.9540145683. The cubic root of 1220451012 is about 1068.6613859842.

Adding to 1220451012 its reverse (2101540221), we get a palindrome (3321991233).

The spelling of 1220451012 in words is "one billion, two hundred twenty million, four hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 6171 6732 8228 12342 16481 18513 24684 32962 37026 49443 65924 74052 98886 148329 181291 197772 280177 296658 362582 543873 560354 593316 725164 840531 1087746 1120708 1631619 1681062 1994201 2175492 2521593 3081947 3263238 3362124 3988402 5043186 5982603 6163894 6526476 7976804 9245841 10086372 11965206 12327788 17947809 18491682 23930412 27737523 33901417 35895618 36983364 55475046 67802834 71791236 101704251 110950092 135605668 203408502 305112753 406817004 610225506 1220451012