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103220103362100 = 223523749118939121
BaseRepresentation
bin10111011110000011001101…
…100110000011011000110100
3111112110202010110220002121220
4113132003031212003120310
5102012124232430041400
61003310354425110340
730512256246124434
oct2736031546033064
9445422113802556
10103220103362100
112a98644445059a
12b6b08b79283b0
1345797c9bbc83a
141b6bc45ada2c4
15bdeed231e7a0
hex5de0cd983634

103220103362100 has 144 divisors (see below), whose sum is σ = 307346496023616. Its totient is φ = 26726886144000.

The previous prime is 103220103362087. The next prime is 103220103362111. The reversal of 103220103362100 is 1263301022301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4019461 + ... + 14919660.

Almost surely, 2103220103362100 is an apocalyptic number.

103220103362100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103220103362100 is an abundant number, since it is smaller than the sum of its proper divisors (204126392661516).

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

103220103362100 is a wasteful number, since it uses less digits than its factorization.

103220103362100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18939666 (or 18939659 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103220103362100 its reverse (1263301022301), we get a palindrome (104483404384401).

The spelling of 103220103362100 in words is "one hundred three trillion, two hundred twenty billion, one hundred three million, three hundred sixty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 491 555 740 925 982 1110 1473 1850 1964 2220 2455 2775 2946 3700 4910 5550 5892 7365 9820 11100 12275 14730 18167 24550 29460 36334 36825 49100 54501 72668 73650 90835 109002 147300 181670 218004 272505 363340 454175 545010 908350 1090020 1362525 1816700 2725050 5450100 18939121 37878242 56817363 75756484 94695605 113634726 189391210 227269452 284086815 378782420 473478025 568173630 700747477 946956050 1136347260 1401494954 1420434075 1893912100 2102242431 2802989908 2840868150 3503737385 4204484862 5681736300 7007474770 8408969724 9299108411 10511212155 14014949540 17518686925 18598216822 21022424310 27897325233 35037373850 37196433644 42044848620 46495542055 52556060775 55794650466 70074747700 92991084110 105112121550 111589300932 139486626165 185982168220 210224243100 232477710275 278973252330 344067011207 464955420550 557946504660 688134022414 697433130825 929910841100 1032201033621 1376268044828 1394866261650 1720335056035 2064402067242 2789732523300 3440670112070 4128804134484 5161005168105 6881340224140 8601675280175 10322010336210 17203350560350 20644020672420 25805025840525 34406701120700 51610051681050 103220103362100