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11423220100 = 2252592398101
BaseRepresentation
bin10101010001110000…
…01000000110000100
31002111002210201001221
422220320020012010
5141343321020400
65125303130124
7553035524455
oct125070100604
932432721057
1011423220100
114932123376
122269743944
131100808c46
147a519b12c
1546ccdcc1a
hex2a8e08184

11423220100 has 72 divisors (see below), whose sum is σ = 25317129600. Its totient is φ = 4472496000.

The previous prime is 11423220097. The next prime is 11423220103. The reversal of 11423220100 is 102232411.

It is an interprime number because it is at equal distance from previous prime (11423220097) and next prime (11423220103).

It is not an unprimeable number, because it can be changed into a prime (11423220103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406050 + ... + 1414150.

It is an arithmetic number, because the mean of its divisors is an integer number (351626800).

Almost surely, 211423220100 is an apocalyptic number.

11423220100 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 11423220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658564800).

11423220100 is an abundant number, since it is smaller than the sum of its proper divisors (13893909500).

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

11423220100 is a wasteful number, since it uses less digits than its factorization.

11423220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11423220100 its reverse (102232411), we get a palindrome (11525452511).

The spelling of 11423220100 in words is "eleven billion, four hundred twenty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 239 295 478 590 956 1180 1195 1475 2390 2950 4780 5900 5975 8101 11950 14101 16202 23900 28202 32404 40505 56404 70505 81010 141010 162020 202525 282020 352525 405050 477959 705050 810100 955918 1410100 1911836 1936139 2389795 3872278 4779590 7744556 9559180 9680695 11948975 19361390 23897950 38722780 47795900 48403475 96806950 114232201 193613900 228464402 456928804 571161005 1142322010 2284644020 2855805025 5711610050 11423220100