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133041334120 = 235198312716607
BaseRepresentation
bin111101111100111100…
…0011010011101101000
3110201101212202000201021
41323321320122131220
54134432040142440
6141041321302224
712416613452452
oct1737170323550
9421355660637
10133041334120
1151471401502
122194b334974
13c712ccbc16
1466213912d2
1536d9d6e84a
hex1ef9e1a768

133041334120 has 128 divisors (see below), whose sum is σ = 321424588800. Its totient is φ = 49413079296.

The previous prime is 133041334099. The next prime is 133041334123. The reversal of 133041334120 is 21433140331.

It is not an unprimeable number, because it can be changed into a prime (133041334123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8002857 + ... + 8019463.

It is an arithmetic number, because the mean of its divisors is an integer number (2511129600).

Almost surely, 2133041334120 is an apocalyptic number.

133041334120 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 133041334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160712294400).

133041334120 is an abundant number, since it is smaller than the sum of its proper divisors (188383254680).

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

133041334120 is a wasteful number, since it uses less digits than its factorization.

133041334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847 (or 16843 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 133041334120 its reverse (21433140331), we get a palindrome (154474474451).

The spelling of 133041334120 in words is "one hundred thirty-three billion, forty-one million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 83 95 127 152 166 190 254 332 380 415 508 635 664 760 830 1016 1270 1577 1660 2413 2540 3154 3320 4826 5080 6308 7885 9652 10541 12065 12616 15770 16607 19304 21082 24130 31540 33214 42164 48260 52705 63080 66428 83035 84328 96520 105410 132856 166070 200279 210820 315533 332140 400558 421640 631066 664280 801116 1001395 1262132 1378381 1577665 1602232 2002790 2109089 2524264 2756762 3155330 4005580 4218178 5513524 6310660 6891905 8011160 8436356 10545445 11027048 12621320 13783810 16872712 21090890 26189239 27567620 40072691 42181780 52378478 55135240 80145382 84363560 104756956 130946195 160290764 175054387 200363455 209513912 261892390 320581528 350108774 400726910 523784780 700217548 801453820 875271935 1047569560 1400435096 1602907640 1750543870 3326033353 3501087740 6652066706 7002175480 13304133412 16630166765 26608266824 33260333530 66520667060 133041334120