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1220201100 = 2232522946751
BaseRepresentation
bin100100010111010…
…1100101010001100
310011001000122020100
41020232230222030
54444332413400
6321025051100
742144352416
oct11056545214
93131018210
101220201100
11576854168
122a0786a90
13165a482b1
14b80ab9b6
15721cb100
hex48baca8c

1220201100 has 108 divisors (see below), whose sum is σ = 3956621760. Its totient is φ = 314160000.

The previous prime is 1220201089. The next prime is 1220201131. The reversal of 1220201100 is 11020221.

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

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, 2725 + ... + 49475.

Almost surely, 21220201100 is an apocalyptic number.

1220201100 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 1220201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978310880).

1220201100 is an abundant number, since it is smaller than the sum of its proper divisors (2736420660).

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

1220201100 is a wasteful number, since it uses less digits than its factorization.

1220201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46800 (or 46790 counting only the distinct ones).

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

The square root of 1220201100 is about 34931.3770126515. The cubic root of 1220201100 is about 1068.5884376688.

Adding to 1220201100 its reverse (11020221), we get a palindrome (1231221321).

The spelling of 1220201100 in words is "one billion, two hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 46751 93502 140253 187004 233755 280506 420759 467510 561012 701265 841518 935020 1168775 1355779 1402530 1683036 2103795 2337550 2711558 2805060 3506325 4067337 4207590 4675100 5423116 6778895 7012650 8134674 8415180 10518975 12202011 13557790 14025300 16269348 20336685 21037950 24404022 27115580 33894475 40673370 42075900 48808044 61010055 67788950 81346740 101683425 122020110 135577900 203366850 244040220 305050275 406733700 610100550 1220201100