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100133034143010 = 235118212341157877
BaseRepresentation
bin10110110001001000001001…
…111011100010110100100010
3111010112121212022112012122120
4112301020021323202310202
5101111034423220034020
6552544251510045110
730043241634534501
oct2661101173426442
9433477768465576
10100133034143010
11299a61aa346910
12b292552649796
1343b46737c796b
141aa2671250838
15b89a53bbd740
hex5b1209ee2d22

100133034143010 has 128 divisors (see below), whose sum is σ = 262599604017408. Its totient is φ = 24234597504000.

The previous prime is 100133034142913. The next prime is 100133034143027. The reversal of 100133034143010 is 10341430331001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634168192 + ... + 634326068.

It is an arithmetic number, because the mean of its divisors is an integer number (2051559406386).

Almost surely, 2100133034143010 is an apocalyptic number.

100133034143010 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 100133034143010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131299802008704).

100133034143010 is an abundant number, since it is smaller than the sum of its proper divisors (162466569874398).

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

100133034143010 is a wasteful number, since it uses less digits than its factorization.

100133034143010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161060.

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

Adding to 100133034143010 its reverse (10341430331001), we get a palindrome (110474464474011).

The spelling of 100133034143010 in words is "one hundred trillion, one hundred thirty-three billion, thirty-four million, one hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 821 1642 2341 2463 4105 4682 4926 7023 8210 9031 11705 12315 14046 18062 23410 24630 25751 27093 35115 45155 51502 54186 70230 77253 90310 128755 135465 154506 157877 257510 270930 315754 386265 473631 772530 789385 947262 1578770 1736647 1921961 2368155 3473294 3843922 4736310 5209941 5765883 8683235 9609805 10419882 11531766 17366470 19219610 21141571 26049705 28829415 42283142 52099410 57658830 63424713 105707855 126849426 129617017 211415710 259234034 317123565 369590057 388851051 634247130 648085085 739180114 777702102 1108770171 1296170170 1425787187 1847950285 1944255255 2217540342 2851574374 3695900570 3888510510 4065490627 4277361561 5543850855 7128935935 8130981254 8554723122 11087701710 12196471881 14257871870 20327453135 21386807805 24392943762 40654906270 42773615610 60982359405 121964718810 303433436797 606866873594 910300310391 1517167183985 1820600620782 3034334367970 3337767804767 4551501551955 6675535609534 9103003103910 10013303414301 16688839023835 20026606828602 33377678047670 50066517071505 100133034143010