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101040201042 = 231119163653757
BaseRepresentation
bin101111000011001110…
…1110001110101010010
3100122210122222000211020
41132012131301311102
53123412242413132
6114230042100310
710204604352414
oct1360635616522
9318718860736
10101040201042
113993a617590
12176ba1aa696
1396b3183b11
144c672749b4
15296570c52c
hex1786771d52

101040201042 has 128 divisors (see below), whose sum is σ = 234144138240. Its totient is φ = 28746627840.

The previous prime is 101040201007. The next prime is 101040201043. The reversal of 101040201042 is 240102040101.

It is not an unprimeable number, because it can be changed into a prime (101040201043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133474128 + ... + 133474884.

It is an arithmetic number, because the mean of its divisors is an integer number (1829251080).

Almost surely, 2101040201042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101040201042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117072069120).

101040201042 is an abundant number, since it is smaller than the sum of its proper divisors (133103937198).

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

101040201042 is a wasteful number, since it uses less digits than its factorization.

101040201042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101040201042 its reverse (240102040101), we get a palindrome (341142241143).

The spelling of 101040201042 in words is "one hundred one billion, forty million, two hundred one thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 163 209 326 418 489 627 653 757 978 1254 1306 1514 1793 1959 2271 3097 3586 3918 4542 5379 6194 7183 8327 9291 10758 12407 14366 14383 16654 18582 21549 24814 24981 28766 34067 37221 43098 43149 49962 68134 74442 86298 102201 106439 123391 136477 158213 204402 212878 246782 272954 316426 319317 370173 409431 474639 494321 638634 740346 818862 949278 988642 1170829 1357301 1482963 2022341 2341658 2344429 2714602 2965926 3512487 4044682 4071903 4688858 5437531 6067023 7024974 7033287 8143806 9392099 10875062 12134046 14066574 16312593 18784198 22245751 25788719 28176297 32625186 44491502 51577438 56352594 66737253 77366157 80574323 103313089 133474506 154732314 161148646 206626178 241722969 309939267 483445938 619878534 886317553 1530912137 1772635106 2658952659 3061824274 4592736411 5317905318 9185472822 16840033507 33680067014 50520100521 101040201042