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23213020100 = 225219312291721
BaseRepresentation
bin10101100111100110…
…101001001111000100
32012220202101121020012
4111213212221033010
5340020013120400
614355223325352
71451145262304
oct254746511704
965822347205
1023213020100
119932165636
1245b9bb0858
13225c25486a
1411a2cdd604
1590cd8bd35
hex5679a93c4

23213020100 has 144 divisors (see below), whose sum is σ = 55004812800. Its totient is φ = 8470656000.

The previous prime is 23213020097. The next prime is 23213020109. The reversal of 23213020100 is 102031232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23213020109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13487240 + ... + 13488960.

Almost surely, 223213020100 is an apocalyptic number.

23213020100 is a gapful number since it is divisible by the number (20) 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 23213020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27502406400).

23213020100 is an abundant number, since it is smaller than the sum of its proper divisors (31791792700).

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

23213020100 is a wasteful number, since it uses less digits than its factorization.

23213020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2007 counting only the distinct ones).

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

Adding to 23213020100 its reverse (102031232), we get a palindrome (23315051332).

The spelling of 23213020100 in words is "twenty-three billion, two hundred thirteen million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 229 310 380 458 475 589 620 775 916 950 1145 1178 1550 1721 1900 2290 2356 2945 3100 3442 4351 4580 5725 5890 6884 7099 8605 8702 11450 11780 14198 14725 17210 17404 21755 22900 28396 29450 32699 34420 35495 43025 43510 53351 58900 65398 70990 86050 87020 106702 108775 130796 134881 141980 163495 172100 177475 213404 217550 266755 269762 326990 354950 394109 435100 533510 539524 653980 674405 709900 788218 817475 1013669 1067020 1333775 1348810 1576436 1634950 1970545 2027338 2667550 2697620 3269900 3372025 3941090 4054676 5068345 5335100 6744050 7488071 7882180 9852725 10136690 12217379 13488100 14976142 19705450 20273380 24434758 25341725 29952284 37440355 39410900 48869516 50683450 61086895 74880710 101366900 122173790 149761420 187201775 232130201 244347580 305434475 374403550 464260402 610868950 748807100 928520804 1160651005 1221737900 2321302010 4642604020 5803255025 11606510050 23213020100