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101223211212 = 223210127839167
BaseRepresentation
bin101111001000101011…
…1111010000011001100
3100200021102022220120200
41132101113322003030
53124301120224322
6114300140413500
710212256045644
oct1362127720314
9320242286520
10101223211212
1139a23955862
121774b547290
13971206cb66
144c836b3524
15297680c8ac
hex17915fa0cc

101223211212 has 36 divisors (see below), whose sum is σ = 258403157376. Its totient is φ = 33406999200.

The previous prime is 101223211147. The next prime is 101223211277. The reversal of 101223211212 is 212112322101.

101223211212 is a `hidden beast` number, since 10 + 122 + 321 + 1 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (101223211147) and next prime (101223211277).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1012232112122 (a number of 23 digits) contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 13915948 + ... + 13923219.

Almost surely, 2101223211212 is an apocalyptic number.

101223211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101223211212 is an abundant number, since it is smaller than the sum of its proper divisors (157179946164).

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

101223211212 is a wasteful number, since it uses less digits than its factorization.

101223211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27839278 (or 27839273 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101223211212 its reverse (212112322101), we get a palindrome (313335533313).

The spelling of 101223211212 in words is "one hundred one billion, two hundred twenty-three million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 27839167 55678334 83517501 111356668 167035002 250552503 334070004 501105006 1002210012 2811755867 5623511734 8435267601 11247023468 16870535202 25305802803 33741070404 50611605606 101223211212