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101320620436 = 22721493499941
BaseRepresentation
bin101111001011100101…
…1011111100110010100
3100200112012121210220201
41132113023133212110
53130001034323221
6114313540310244
710214551030600
oct1362713374624
9320465553821
10101320620436
1139a73937852
12177780a2384
1397292b7359
144c925cc500
15298014e891
hex17972df994

101320620436 has 72 divisors (see below), whose sum is σ = 208260045000. Its totient is φ = 43003779840.

The previous prime is 101320620431. The next prime is 101320620451. The reversal of 101320620436 is 634026023101.

101320620436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 803722500 + 100516897936 = 28350^2 + 317044^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320620431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10187226 + ... + 10197166.

It is an arithmetic number, because the mean of its divisors is an integer number (2892500625).

Almost surely, 2101320620436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320620436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104130022500).

101320620436 is an abundant number, since it is smaller than the sum of its proper divisors (106939424564).

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

101320620436 is a wasteful number, since it uses less digits than its factorization.

101320620436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10457 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 101320620436 its reverse (634026023101), we get a palindrome (735346643537).

The spelling of 101320620436 in words is "one hundred one billion, three hundred twenty million, six hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 349 596 698 1043 1396 2086 2443 4172 4886 7301 9772 9941 14602 17101 19882 29204 34202 39764 52001 68404 69587 104002 139174 208004 278348 364007 487109 728014 974218 1456028 1481209 1948436 2548049 2962418 3469409 5096098 5924836 6938818 10192196 10368463 13877636 20736926 24285863 41473852 48571726 72579241 97143452 145158482 170001041 290316964 340002082 516941941 680004164 1033883882 2067767764 3618593587 7237187174 14474374348 25330155109 50660310218 101320620436