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101233043632 = 24719295772843
BaseRepresentation
bin101111001000111110…
…1011010100010110000
3100200022002211110010101
41132101331122202300
53124311124344012
6114301131242144
710212435446620
oct1362175324260
9320262743111
10101233043632
1139a29461026
12177528a9354
139714103366
144c84b12880
152977600d57
hex1791f5a8b0

101233043632 has 160 divisors (see below), whose sum is σ = 244602201600. Its totient is φ = 39602110464.

The previous prime is 101233043629. The next prime is 101233043633. The reversal of 101233043632 is 236340332101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 101233043632.

It is not an unprimeable number, because it can be changed into a prime (101233043633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35606403 + ... + 35609245.

It is an arithmetic number, because the mean of its divisors is an integer number (1528763760).

Almost surely, 2101233043632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233043632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122301100800).

101233043632 is an abundant number, since it is smaller than the sum of its proper divisors (143369157968).

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

101233043632 is a wasteful number, since it uses less digits than its factorization.

101233043632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 101233043632 its reverse (236340332101), we get a palindrome (337573375733).

The spelling of 101233043632 in words is "one hundred one billion, two hundred thirty-three million, forty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 266 304 406 464 532 551 577 812 1064 1102 1154 1624 2128 2204 2308 2843 3248 3857 4039 4408 4616 5686 7714 8078 8816 9232 10963 11372 15428 16156 16733 19901 21926 22744 30856 32312 33466 39802 43852 45488 54017 61712 64624 66932 76741 79604 82447 87704 108034 117131 133864 153482 159208 164894 175408 216068 234262 267728 306964 317927 318416 329788 378119 432136 468524 577129 613928 635854 659576 756238 864272 937048 1154258 1227856 1271708 1319152 1512476 1566493 1640411 1874096 2225489 2308516 2543416 3024952 3132986 3280822 4450978 4617032 5086832 6049904 6265972 6561644 8901956 9234064 10965451 11482877 12531944 13123288 17803912 21930902 22965754 25063888 26246576 31167809 35607824 43861804 45931508 47571919 62335618 87723608 91863016 95143838 124671236 175447216 183726032 190287676 218174663 249342472 333003433 380575352 436349326 498684944 666006866 761150704 872698652 903866461 1332013732 1745397304 1807732922 2664027464 3490794608 3615465844 5328054928 6327065227 7230931688 12654130454 14461863376 25308260908 50616521816 101233043632