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1220120100 = 2232522358943
BaseRepresentation
bin100100010111001…
…1000111000100100
310011000212112010100
41020232120320210
54444322320400
6321023224100
742143564313
oct11056307044
93130775110
101220120100
115767a9321
122a0748030
13165a1a474
14b808a27a
15721b2100
hex48b98e24

1220120100 has 108 divisors (see below), whose sum is σ = 3990744576. Its totient is φ = 311213760.

The previous prime is 1220120089. The next prime is 1220120113. The reversal of 1220120100 is 10210221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8772 + ... + 50171.

Almost surely, 21220120100 is an apocalyptic number.

1220120100 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 1220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995372288).

1220120100 is an abundant number, since it is smaller than the sum of its proper divisors (2770624476).

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

1220120100 is a wasteful number, since it uses less digits than its factorization.

1220120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58986 (or 58976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1220120100 is about 34930.2175773355. The cubic root of 1220120100 is about 1068.5647919548.

Adding to 1220120100 its reverse (10210221), we get a palindrome (1230330321).

The spelling of 1220120100 in words is "one billion, two hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 58943 117886 176829 235772 294715 353658 530487 589430 707316 884145 1060974 1178860 1355689 1473575 1768290 2121948 2652435 2711378 2947150 3536580 4067067 4420725 5304870 5422756 5894300 6778445 8134134 8841450 10609740 12201201 13262175 13556890 16268268 17682900 20335335 24402402 26524350 27113780 33892225 40670670 48804804 53048700 61006005 67784450 81341340 101676675 122012010 135568900 203353350 244024020 305030025 406706700 610060050 1220120100