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1213303220032 = 2679421647881
BaseRepresentation
bin10001101001111110100…
…000011110011101000000
311021222202012001201010111
4101221332200132131000
5124334321111020112
62325214522441104
7153441533131051
oct21517640363500
94258665051114
101213303220032
11428617045212
12177190963194
138a54c744037
1442a1d264728
1521862a855a7
hex11a7e81e740

1213303220032 has 112 divisors (see below), whose sum is σ = 2450472030720. Its totient is φ = 595948953600.

The previous prime is 1213303219993. The next prime is 1213303220057. The reversal of 1213303220032 is 2300223033121.

It is a junction number, because it is equal to n+sod(n) for n = 1213303219985 and 1213303220012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1377188232 + ... + 1377189112.

It is an arithmetic number, because the mean of its divisors is an integer number (21879214560).

Almost surely, 21213303220032 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 1213303220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225236015360).

1213303220032 is an abundant number, since it is smaller than the sum of its proper divisors (1237168810688).

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

1213303220032 is an equidigital number, since it uses as much as digits as its factorization.

1213303220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1213303220032 its reverse (2300223033121), we get a palindrome (3513526253153).

The spelling of 1213303220032 in words is "one trillion, two hundred thirteen billion, three hundred three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 79 158 316 421 632 647 842 881 1264 1294 1684 1762 2528 2588 3368 3524 5056 5176 6736 7048 10352 13472 14096 20704 26944 28192 33259 41408 51113 56384 66518 69599 102226 133036 139198 204452 266072 272387 278396 370901 408904 532144 544774 556792 570007 741802 817808 1064288 1089548 1113584 1140014 1483604 1635616 2128576 2179096 2227168 2280028 2967208 3271232 4358192 4454336 4560056 5934416 8716384 9120112 11868832 17432768 18240224 21518573 23737664 29301179 36480448 43037146 45030553 58602358 86074292 90061106 117204716 172148584 180122212 234409432 239972947 344297168 360244424 468818864 479945894 688594336 720488848 937637728 959891788 1377188672 1440977696 1875275456 1919783576 2881955392 3839567152 7679134304 15358268608 18957862813 37915725626 75831451252 151662902504 303325805008 606651610016 1213303220032