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100202222021220 = 22325113110889149921
BaseRepresentation
bin10110110010001000100101…
…110110010110101001100100
3111010210020110010201120212100
4112302020211312112221210
5101113203122314134340
6553040133150252100
730051241321023234
oct2662104566265144
9433706403646770
10100202222021220
1129a22584078850
12b2a3a414b7030
1343bb04b906b77
141aa5b56063cc4
15b8b752d60830
hex5b2225d96a64

100202222021220 has 288 divisors, whose sum is σ = 342308051205120. Its totient is φ = 23505537024000.

The previous prime is 100202222021203. The next prime is 100202222021221. The reversal of 100202222021220 is 22120222202001.

100202222021220 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 222 + 202 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100202222021193 and 100202222021202.

It is not an unprimeable number, because it can be changed into a prime (100202222021221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668291860 + ... + 668441780.

It is an arithmetic number, because the mean of its divisors is an integer number (1188569622240).

Almost surely, 2100202222021220 is an apocalyptic number.

100202222021220 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 100202222021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171154025602560).

100202222021220 is an abundant number, since it is smaller than the sum of its proper divisors (242105829183900).

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

100202222021220 is a wasteful number, since it uses less digits than its factorization.

100202222021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160867 (or 160862 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100202222021220 its reverse (22120222202001), we get a palindrome (122322444223221).

The spelling of 100202222021220 in words is "one hundred trillion, two hundred two billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty".