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12202330100 = 22521917337123
BaseRepresentation
bin10110101110101000…
…01100011111110100
31011111101211121001212
423113110030133310
5144442244030400
65334454140552
7611246044262
oct132724143764
934441747055
1012202330100
1151a1996234
122446651758
1311c605658c
1483a849432
154b63da335
hex2d750c7f4

12202330100 has 72 divisors (see below), whose sum is σ = 28034559840. Its totient is φ = 4597188480.

The previous prime is 12202330073. The next prime is 12202330109. The reversal of 12202330100 is 103320221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202330109) by changing a digit.

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, 310139 + ... + 347261.

Almost surely, 212202330100 is an apocalyptic number.

12202330100 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 12202330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017279920).

12202330100 is an abundant number, since it is smaller than the sum of its proper divisors (15832229740).

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

12202330100 is a wasteful number, since it uses less digits than its factorization.

12202330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37329 (or 37322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12202330100 its reverse (103320221), we get a palindrome (12305650321).

The spelling of 12202330100 in words is "twelve billion, two hundred two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 173 190 346 380 475 692 865 950 1730 1900 3287 3460 4325 6574 8650 13148 16435 17300 32870 37123 65740 74246 82175 148492 164350 185615 328700 371230 705337 742460 928075 1410674 1856150 2821348 3526685 3712300 6422279 7053370 12844558 14106740 17633425 25689116 32111395 35266850 64222790 70533700 122023301 128445580 160556975 244046602 321113950 488093204 610116505 642227900 1220233010 2440466020 3050582525 6101165050 12202330100