Search a number
-
+
100122022210194 = 23519103310496377
BaseRepresentation
bin10110110000111101111001…
…100100010110101010010010
3111010111120102212122001200000
4112300331321210112222102
5101110344400141211234
6552535231054110430
730042402021622215
oct2660757144265222
9433446385561600
10100122022210194
11299a15693a8796
12b29039a7ab416
1343b360a282a9a
141aa1d0895577c
15b8960c073899
hex5b0f79916a92

100122022210194 has 96 divisors (see below), whose sum is σ = 237035085967680. Its totient is φ = 31586870253312.

The previous prime is 100122022210159. The next prime is 100122022210207. The reversal of 100122022210194 is 491012220221001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4290534 + ... + 14786910.

It is an arithmetic number, because the mean of its divisors is an integer number (2469115478830).

Almost surely, 2100122022210194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122022210194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118517542983840).

100122022210194 is an abundant number, since it is smaller than the sum of its proper divisors (136913063757486).

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

100122022210194 is a wasteful number, since it uses less digits than its factorization.

100122022210194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497446 (or 10497434 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 100122022210194 its reverse (491012220221001), we get a palindrome (591134242431195).

The spelling of 100122022210194 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, two hundred ten thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1033 1539 2066 3078 3099 4617 6198 9234 9297 18594 19627 27891 39254 55782 58881 83673 117762 167346 176643 251019 353286 502038 529929 1059858 1589787 3179574 4769361 9538722 10496377 20992754 31489131 62978262 94467393 188934786 199431163 283402179 398862326 566804358 598293489 850206537 1196586978 1700413074 1794880467 2550619611 3589760934 5101239222 5384641401 10769282802 10842757441 16153924203 21685514882 32307848406 32528272323 48461772609 65056544646 96923545218 97584816969 195169633938 206012391379 292754450907 412024782758 585508901814 618037174137 878263352721 1236074348274 1756526705442 1854111522411 2634790058163 3708223044822 5269580116326 5562334567233 11124669134466 16687003701699 33374007403398 50061011105097 100122022210194