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1013220030120 = 233573293394759
BaseRepresentation
bin11101011111010001001…
…11101011011010101000
310120212022001020112112020
432233220213223122220
5113100033311430440
62053244501344440
7133126352103624
oct16575047533250
93525261215466
101013220030120
11360782324221
12144451408120
137471411887c
143707c0ca184
151b55217c3d0
hexebe89eb6a8

1013220030120 has 128 divisors (see below), whose sum is σ = 3091823481600. Its totient is φ = 265580550144.

The previous prime is 1013220030089. The next prime is 1013220030181. The reversal of 1013220030120 is 210300223101.

It is a super-2 number, since 2×10132200301202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013220030120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369301 + ... + 2764059.

It is an arithmetic number, because the mean of its divisors is an integer number (24154870950).

Almost surely, 21013220030120 is an apocalyptic number.

1013220030120 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 1013220030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545911740800).

1013220030120 is an abundant number, since it is smaller than the sum of its proper divisors (2078603451480).

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

1013220030120 is a wasteful number, since it uses less digits than its factorization.

1013220030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395139 (or 395135 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1013220030120 its reverse (210300223101), we get a palindrome (1223520253221).

The spelling of 1013220030120 in words is "one trillion, thirteen billion, two hundred twenty million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 293 365 438 584 586 730 876 879 1095 1172 1460 1465 1752 1758 2190 2344 2920 2930 3516 4380 4395 5860 7032 8760 8790 11720 17580 21389 35160 42778 64167 85556 106945 128334 171112 213890 256668 320835 394759 427780 513336 641670 789518 855560 1184277 1283340 1579036 1973795 2368554 2566680 3158072 3947590 4737108 5921385 7895180 9474216 11842770 15790360 23685540 28817407 47371080 57634814 86452221 115269628 115664387 144087035 172904442 230539256 231328774 288174070 345808884 346993161 432261105 462657548 576348140 578321935 691617768 693986322 864522210 925315096 1152696280 1156643870 1387972644 1729044420 1734965805 2313287740 2775945288 3458088840 3469931610 4626575480 6939863220 8443500251 13879726440 16887000502 25330500753 33774001004 42217501255 50661001506 67548002008 84435002510 101322003012 126652503765 168870005020 202644006024 253305007530 337740010040 506610015060 1013220030120