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102032122110100 = 225271312788285993
BaseRepresentation
bin10111001100110000110100…
…011001001110000010010100
3111101021011202000120122102021
4113030300310121032002110
5101333143241230010400
61001000524304022524
730330402050111140
oct2714606431160224
9441234660518367
10102032122110100
112a568641a60796
12b53a613301a44
1344c1784601c50
141b2a5498b0220
15bbe15285971a
hex5ccc3464e094

102032122110100 has 144 divisors (see below), whose sum is σ = 274649958166528. Its totient is φ = 32037220776960.

The previous prime is 102032122110089. The next prime is 102032122110131. The reversal of 102032122110100 is 1011221230201.

It is a congruent number.

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, 42987297 + ... + 45298696.

Almost surely, 2102032122110100 is an apocalyptic number.

102032122110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032122110100 is an abundant number, since it is smaller than the sum of its proper divisors (172617836056428).

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

102032122110100 is a wasteful number, since it uses less digits than its factorization.

102032122110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88286154 (or 88286147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102032122110100 its reverse (1011221230201), we get a palindrome (103043343340301).

The spelling of 102032122110100 in words is "one hundred two trillion, thirty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 127 130 140 175 182 254 260 325 350 364 455 508 635 650 700 889 910 1270 1300 1651 1778 1820 2275 2540 3175 3302 3556 4445 4550 6350 6604 8255 8890 9100 11557 12700 16510 17780 22225 23114 33020 41275 44450 46228 57785 82550 88900 115570 165100 231140 288925 577850 1155700 88285993 176571986 353143972 441429965 618001951 882859930 1147717909 1236003902 1765719860 2207149825 2295435818 2472007804 3090009755 4414299650 4590871636 5738589545 6180019510 8034025363 8828599300 11212321111 11477179090 12360039020 15450048775 16068050726 22424642222 22954358180 28692947725 30900097550 32136101452 40170126815 44849284444 56061605555 57385895450 61800195100 78486247777 80340253630 112123211110 114771790900 145760174443 156972495554 160680507260 200850634075 224246422220 280308027775 291520348886 313944991108 392431238885 401701268150 560616055550 583040697772 728800872215 784862477770 803402536300 1020321221101 1121232111100 1457601744430 1569724955540 1962156194425 2040642442202 2915203488860 3644004361075 3924312388850 4081284884404 5101606105505 7288008722150 7848624777700 10203212211010 14576017444300 20406424422020 25508030527525 51016061055050 102032122110100