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106202626050 = 235212713740693
BaseRepresentation
bin110001011101000101…
…0110111100000000010
3101011010102222101121110
41202322022313200002
53220000333013200
6120442214504150
710446541266243
oct1427212674002
9334112871543
10106202626050
1141049682934
12186bb065056
13a026871b81
1451d6b36cca
152b68a49b50
hex18ba2b7802

106202626050 has 96 divisors (see below), whose sum is σ = 267400599552. Its totient is φ = 27891924480.

The previous prime is 106202626021. The next prime is 106202626067. The reversal of 106202626050 is 50626202601.

It is a super-2 number, since 2×1062026260502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106202625999 and 106202626017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2589504 + ... + 2630196.

It is an arithmetic number, because the mean of its divisors is an integer number (2785422912).

Almost surely, 2106202626050 is an apocalyptic number.

106202626050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106202626050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133700299776).

106202626050 is an abundant number, since it is smaller than the sum of its proper divisors (161197973502).

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

106202626050 is a wasteful number, since it uses less digits than its factorization.

106202626050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40972 (or 40967 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 106202626050 its reverse (50626202601), we get a palindrome (156828828651).

The spelling of 106202626050 in words is "one hundred six billion, two hundred two million, six hundred twenty-six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 137 150 254 274 381 411 635 685 762 822 1270 1370 1905 2055 3175 3425 3810 4110 6350 6850 9525 10275 17399 19050 20550 34798 40693 52197 81386 86995 104394 122079 173990 203465 244158 260985 406930 434975 521970 610395 869950 1017325 1220790 1304925 2034650 2609850 3051975 5168011 5574941 6103950 10336022 11149882 15504033 16724823 25840055 27874705 31008066 33449646 51680110 55749410 77520165 83624115 129200275 139373525 155040330 167248230 258400550 278747050 387600825 418120575 708017507 775201650 836241150 1416035014 2124052521 3540087535 4248105042 7080175070 10620262605 17700437675 21240525210 35400875350 53101313025 106202626050