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1220101110100 = 2252193517182587
BaseRepresentation
bin10001110000010011101…
…100010111100101010100
311022122021221111022012201
4101300103230113211110
5124442231341010400
62332301241054244
7154102146214405
oct21602354274524
94278257438181
101220101110100
114304952a5684
12178569487384
138b093c044b2
14430a600d9ac
1521b0e77a06a
hex11c13b17954

1220101110100 has 72 divisors (see below), whose sum is σ = 2787775494560. Its totient is φ = 462220110720.

The previous prime is 1220101110077. The next prime is 1220101110113. The reversal of 1220101110100 is 10111010221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6591007 + ... + 6773593.

Almost surely, 21220101110100 is an apocalyptic number.

1220101110100 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 1220101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393887747280).

1220101110100 is an abundant number, since it is smaller than the sum of its proper divisors (1567674384460).

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

1220101110100 is a wasteful number, since it uses less digits than its factorization.

1220101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186137 (or 186130 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1220101110100 its reverse (10111010221), we get a palindrome (1230212120321).

The spelling of 1220101110100 in words is "one trillion, two hundred twenty billion, one hundred one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 3517 7034 14068 17585 35170 66823 70340 87925 133646 175850 182587 267292 334115 351700 365174 668230 730348 912935 1336460 1670575 1825870 3341150 3469153 3651740 4564675 6682300 6938306 9129350 13876612 17345765 18258700 34691530 69383060 86728825 173457650 346915300 642158479 1284316958 2568633916 3210792395 6421584790 12201011101 12843169580 16053961975 24402022202 32107923950 48804044404 61005055505 64215847900 122010111010 244020222020 305025277525 610050555050 1220101110100