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10212022211220 = 223351571187101477
BaseRepresentation
bin1001010010011010101111…
…1101001101001010010100
31100011021000101102112202000
42110212223331031022110
52314303210141224340
633415201020515300
72102536300403634
oct224465375151224
940137011375660
1010212022211220
113287992347475
12118b1a96abb30
13590cb30b7c3b
1427439bb706c4
1512a988a73d30
hex949abf4d294

10212022211220 has 192 divisors, whose sum is σ = 32000348540160. Its totient is φ = 2703554440704.

The previous prime is 10212022211021. The next prime is 10212022211221. The reversal of 10212022211220 is 2211222021201.

It is a happy number.

10212022211220 is a `hidden beast` number, since 1 + 0 + 21 + 202 + 221 + 1 + 220 = 666.

10212022211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10212022211193 and 10212022211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212022211221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100583122 + ... + 100684598.

It is an arithmetic number, because the mean of its divisors is an integer number (166668481980).

Almost surely, 210212022211220 is an apocalyptic number.

10212022211220 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 10212022211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000174270080).

10212022211220 is an abundant number, since it is smaller than the sum of its proper divisors (21788326328940).

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

10212022211220 is a wasteful number, since it uses less digits than its factorization.

10212022211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102839 (or 102831 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212022211220 its reverse (2211222021201), we get a palindrome (12423244232421).

The spelling of 10212022211220 in words is "ten trillion, two hundred twelve billion, twenty-two million, two hundred eleven thousand, two hundred twenty".