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100626242190 = 235194110740241
BaseRepresentation
bin101110110110111001…
…0101001101010001110
3100121201211000202000220
41131231302221222032
53122040304222230
6114121013332210
710161416642325
oct1355562515216
9317654022026
10100626242190
1139747988131
1217603637066
139648495a56
144c282b90bc
15293e1dcd10
hex176dca9a8e

100626242190 has 128 divisors (see below), whose sum is σ = 262854305280. Its totient is φ = 24568934400.

The previous prime is 100626242173. The next prime is 100626242191. The reversal of 100626242190 is 91242626001.

It is a super-2 number, since 2×1006262421902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100626242191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2480470 + ... + 2520710.

It is an arithmetic number, because the mean of its divisors is an integer number (2053549260).

Almost surely, 2100626242190 is an apocalyptic number.

100626242190 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 100626242190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131427152640).

100626242190 is an abundant number, since it is smaller than the sum of its proper divisors (162228063090).

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

100626242190 is a wasteful number, since it uses less digits than its factorization.

100626242190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40418.

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 100626242190 its reverse (91242626001), we get a palindrome (191868868191).

The spelling of 100626242190 in words is "one hundred billion, six hundred twenty-six million, two hundred forty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 107 114 123 190 205 214 246 285 321 410 535 570 615 642 779 1070 1230 1558 1605 2033 2337 3210 3895 4066 4387 4674 6099 7790 8774 10165 11685 12198 13161 20330 21935 23370 26322 30495 40241 43870 60990 65805 80482 83353 120723 131610 166706 201205 241446 250059 402410 416765 500118 603615 764579 833530 1207230 1250295 1529158 1649881 2293737 2500590 3299762 3822895 4305787 4587474 4949643 7645790 8249405 8611574 9899286 11468685 12917361 16498810 21528935 22937370 24748215 25834722 31347739 43057870 49496430 62695478 64586805 81809953 94043217 129173610 156738695 163619906 176537267 188086434 245429859 313477390 353074534 409049765 470216085 490859718 529611801 818099530 882686335 940432170 1059223602 1227149295 1765372670 2454298590 2648059005 3354208073 5296118010 6708416146 10062624219 16771040365 20125248438 33542080730 50313121095 100626242190