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101056354520 = 23511298395419
BaseRepresentation
bin101111000011101101…
…1011001100011011000
3100122211210100201020012
41132013123121203120
53123430411321040
6114231420221052
710205161561202
oct1360733314330
9318753321205
10101056354520
113994874a970
121770369a788
1396b661b4a4
144c6947b772
152966d4d865
hex17876d98d8

101056354520 has 128 divisors (see below), whose sum is σ = 259695072000. Its totient is φ = 35052756480.

The previous prime is 101056354513. The next prime is 101056354537. The reversal of 101056354520 is 25453650101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011371 + ... + 1106789.

It is an arithmetic number, because the mean of its divisors is an integer number (2028867750).

Almost surely, 2101056354520 is an apocalyptic number.

101056354520 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 101056354520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129847536000).

101056354520 is an abundant number, since it is smaller than the sum of its proper divisors (158638717480).

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

101056354520 is a wasteful number, since it uses less digits than its factorization.

101056354520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95553 (or 95549 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 101056354520 in words is "one hundred one billion, fifty-six million, three hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 83 88 110 116 145 166 220 232 290 319 332 415 440 580 638 664 830 913 1160 1276 1595 1660 1826 2407 2552 3190 3320 3652 4565 4814 6380 7304 9130 9628 12035 12760 18260 19256 24070 26477 36520 48140 52954 95419 96280 105908 132385 190838 211816 264770 381676 477095 529540 763352 954190 1049609 1059080 1908380 2099218 2767151 3816760 4198436 5248045 5534302 7919777 8396872 10496090 11068604 13835755 15839554 20992180 22137208 27671510 30438661 31679108 39598885 41984360 55343020 60877322 63358216 79197770 87117547 110686040 121754644 152193305 158395540 174235094 229673533 243509288 304386610 316791080 348470188 435587735 459347066 608773220 696940376 871175470 918694132 1148367665 1217546440 1742350940 1837388264 2296735330 2526408863 3484701880 4593470660 5052817726 9186941320 10105635452 12632044315 20211270904 25264088630 50528177260 101056354520