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23210402100 = 22352197433907
BaseRepresentation
bin10101100111011100…
…101010000100110100
32012220120110121000020
4111213130222010310
5340013330331400
614355051245140
71451114106534
oct254734520464
965816417006
1023210402100
1199307376a6
1245b91497b0
13225b849052
1411a281b4c4
1590ca212a0
hex56772a134

23210402100 has 144 divisors (see below), whose sum is σ = 67726790208. Its totient is φ = 6137026560.

The previous prime is 23210402087. The next prime is 23210402113. The reversal of 23210402100 is 120401232.

It is an interprime number because it is at equal distance from previous prime (23210402087) and next prime (23210402113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23210402100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25589847 + ... + 25590753.

It is an arithmetic number, because the mean of its divisors is an integer number (470324932).

Almost surely, 223210402100 is an apocalyptic number.

23210402100 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 23210402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863395104).

23210402100 is an abundant number, since it is smaller than the sum of its proper divisors (44516388108).

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

23210402100 is a wasteful number, since it uses less digits than its factorization.

23210402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23210402100 its reverse (120401232), we get a palindrome (23330803332).

The spelling of 23210402100 in words is "twenty-three billion, two hundred ten million, four hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 433 591 788 866 907 985 1182 1299 1732 1814 1970 2165 2364 2598 2721 2955 3628 3940 4330 4535 4925 5196 5442 5910 6495 8660 9070 9850 10825 10884 11820 12990 13605 14775 18140 19700 21650 22675 25980 27210 29550 32475 43300 45350 54420 59100 64950 68025 85301 90700 129900 136050 170602 178679 255903 272100 341204 357358 392731 426505 511806 536037 714716 785462 853010 893395 1023612 1072074 1178193 1279515 1570924 1706020 1786790 1963655 2132525 2144148 2356386 2559030 2680185 3573580 3927310 4265050 4466975 4712772 5118060 5360370 5890965 6397575 7854620 8530100 8933950 9818275 10720740 11781930 12795150 13400925 17867900 19636550 23563860 25590300 26801850 29454825 39273100 53603700 58909650 77368007 117819300 154736014 232104021 309472028 386840035 464208042 773680070 928416084 1160520105 1547360140 1934200175 2321040210 3868400350 4642080420 5802600525 7736800700 11605201050 23210402100