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125017221042 = 234733172577
BaseRepresentation
bin111010001101110011…
…0110110011110110010
3102221200122221211220000
41310123212312132302
54022013402033132
6133233200530430
712014020563000
oct1643346663662
9387618854800
10125017221042
1149023a6459a
1220290020a16
13ba3479550c
14609d80ba70
1533ba6ae87c
hex1d1b9b67b2

125017221042 has 160 divisors (see below), whose sum is σ = 337226419200. Its totient is φ = 34566497280.

The previous prime is 125017221013. The next prime is 125017221047. The reversal of 125017221042 is 240122710521.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 125017220997 and 125017221015.

It is not an unprimeable number, because it can be changed into a prime (125017221047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1686258 + ... + 1758834.

It is an arithmetic number, because the mean of its divisors is an integer number (2107665120).

Almost surely, 2125017221042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125017221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168613209600).

125017221042 is an abundant number, since it is smaller than the sum of its proper divisors (212209198158).

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

125017221042 is an equidigital number, since it uses as much as digits as its factorization.

125017221042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72643 (or 72620 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 125017221042 its reverse (240122710521), we get a palindrome (365139931563).

The spelling of 125017221042 in words is "one hundred twenty-five billion, seventeen million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 81 93 98 126 147 162 186 189 217 279 294 343 378 434 441 558 567 651 686 837 882 1029 1134 1302 1323 1519 1674 1953 2058 2511 2646 3038 3087 3906 3969 4557 5022 5859 6174 7938 9114 9261 10633 11718 13671 17577 18522 21266 27342 27783 31899 35154 41013 55566 63798 72577 82026 95697 123039 145154 191394 217731 246078 287091 435462 508039 574182 653193 861273 1016078 1306386 1524117 1722546 1959579 2249887 3048234 3556273 3919158 4499774 4572351 5878737 6749661 7112546 9144702 10668819 11757474 13499322 13717053 15749209 20248983 21337638 24893911 27434106 31498418 32006457 40497966 41151159 47247627 49787822 60746949 64012914 74681733 82302318 94495254 96019371 110244463 121493898 141742881 149363466 182240847 192038742 220488926 224045199 283485762 288058113 330733389 364481694 425228643 448090398 576116226 661466778 672135597 771711241 850457286 992200167 1275685929 1344271194 1543422482 1984400334 2016406791 2315133723 2551371858 2976600501 4032813582 4630267446 5953201002 6945401169 8929801503 13890802338 17859603006 20836203507 41672407014 62508610521 125017221042