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103022311100 = 225219431279929
BaseRepresentation
bin101111111110010011…
…0111011011010111100
3100211220210122122122212
41133330212323122330
53141442202423400
6115154445355552
710304663124062
oct1377446733274
9324823578585
10103022311100
113a767455175
1217b71b68bb8
13993aa062c7
144db45d4032
152a2e739335
hex17fc9bb6bc

103022311100 has 144 divisors (see below), whose sum is σ = 242717798400. Its totient is φ = 37828062720.

The previous prime is 103022311087. The next prime is 103022311103. The reversal of 103022311100 is 1113220301.

It is a super-2 number, since 2×1030223111002 (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 (103022311103) 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, 10370936 + ... + 10380864.

Almost surely, 2103022311100 is an apocalyptic number.

103022311100 is a gapful number since it is divisible by the number (10) 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 103022311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121358899200).

103022311100 is an abundant number, since it is smaller than the sum of its proper divisors (139695487300).

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

103022311100 is a wasteful number, since it uses less digits than its factorization.

103022311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103022311100 its reverse (1113220301), we get a palindrome (104135531401).

The spelling of 103022311100 in words is "one hundred three billion, twenty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 127 172 190 215 254 380 430 475 508 635 817 860 950 1075 1270 1634 1900 2150 2413 2540 3175 3268 4085 4300 4826 5461 6350 8170 9652 9929 10922 12065 12700 16340 19858 20425 21844 24130 27305 39716 40850 48260 49645 54610 60325 81700 99290 103759 109220 120650 136525 188651 198580 207518 241300 248225 273050 377302 415036 426947 496450 518795 546100 754604 853894 943255 992900 1037590 1260983 1707788 1886510 2075180 2134735 2521966 2593975 3773020 4269470 4716275 5043932 5187950 6304915 8111993 8538940 9432550 10375900 10673675 12609830 16223986 18865100 21347350 23958677 25219660 31524575 32447972 40559965 42694700 47917354 54222269 63049150 81119930 95834708 108444538 119793385 126098300 162239860 202799825 216889076 239586770 271111345 405599650 479173540 542222690 598966925 811199300 1030223111 1084445380 1197933850 1355556725 2060446222 2395867700 2711113450 4120892444 5151115555 5422226900 10302231110 20604462220 25755577775 51511155550 103022311100