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100221111120 = 24351332122151
BaseRepresentation
bin101110101010110100…
…1001100101101010000
3100120200120200221200110
41131111221030231100
53120223101023440
6114012502121320
710145400250224
oct1352551145520
9316616627613
10100221111120
113955a228169
121750ba20240
1395b2578b20
144bca57a784
152918864080
hex1755a4cb50

100221111120 has 80 divisors (see below), whose sum is σ = 334584335232. Its totient is φ = 24669811200.

The previous prime is 100221111101. The next prime is 100221111121. The reversal of 100221111120 is 21111122001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1002211111202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100221111096 and 100221111105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16057956 + ... + 16064195.

Almost surely, 2100221111120 is an apocalyptic number.

100221111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221111120 is an abundant number, since it is smaller than the sum of its proper divisors (234363224112).

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

100221111120 is a wasteful number, since it uses less digits than its factorization.

100221111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32122180 (or 32122174 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221111120 its reverse (21111122001), we get a palindrome (121332233121).

The spelling of 100221111120 in words is "one hundred billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 32122151 64244302 96366453 128488604 160610755 192732906 256977208 321221510 385465812 417587963 481832265 513954416 642443020 770931624 835175926 963664530 1252763889 1284886040 1541863248 1670351852 1927329060 2087939815 2505527778 2569772080 3340703704 3854658120 4175879630 5011055556 6263819445 6681407408 7709316240 8351759260 10022111112 12527638890 16703518520 20044222224 25055277780 33407037040 50110555560 100221111120