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1220210100 = 22325210313163
BaseRepresentation
bin100100010111010…
…1110110110110100
310011001001002120200
41020232232312310
54444333210400
6321025200500
742144420564
oct11056566664
93131032520
101220210100
1157685a9aa
122a0790130
13165a4c415
14b80b0da4
15721cdb00
hex48baedb4

1220210100 has 108 divisors (see below), whose sum is σ = 3862106976. Its totient is φ = 322205760.

The previous prime is 1220210083. The next prime is 1220210107. The reversal of 1220210100 is 10120221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86119 + ... + 99281.

Almost surely, 21220210100 is an apocalyptic number.

1220210100 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 1220210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931053488).

1220210100 is an abundant number, since it is smaller than the sum of its proper divisors (2641896876).

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

1220210100 is a wasteful number, since it uses less digits than its factorization.

1220210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13286 (or 13276 counting only the distinct ones).

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

The square root of 1220210100 is about 34931.5058364222. The cubic root of 1220210100 is about 1068.5910649058.

Adding to 1220210100 its reverse (10120221), we get a palindrome (1230330321).

The spelling of 1220210100 in words is "one billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 309 412 450 515 618 900 927 1030 1236 1545 1854 2060 2575 3090 3708 4635 5150 6180 7725 9270 10300 13163 15450 18540 23175 26326 30900 39489 46350 52652 65815 78978 92700 118467 131630 157956 197445 236934 263260 329075 394890 473868 592335 658150 789780 987225 1184670 1316300 1355789 1974450 2369340 2711578 2961675 3948900 4067367 5423156 5923350 6778945 8134734 11846700 12202101 13557890 16269468 20336835 24404202 27115780 33894725 40673670 48808404 61010505 67789450 81347340 101684175 122021010 135578900 203368350 244042020 305052525 406736700 610105050 1220210100