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1223141501244 = 2231323726936053
BaseRepresentation
bin10001110011001000111…
…010100010100100111100
311022221010211112011210010
4101303020322202210330
5130014443211014434
62333523051143220
7154240405134465
oct21631072424474
94287124464703
101223141501244
11431805543533
12179077744b10
138b459a8b600
14432b3b2bd6c
1521c3b64b9e9
hex11cc8ea293c

1223141501244 has 144 divisors (see below), whose sum is σ = 3175650690912. Its totient is φ = 365983128576.

The previous prime is 1223141501221. The next prime is 1223141501287. The reversal of 1223141501244 is 4421051413221.

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 47 ways as a sum of consecutive naturals, for example, 202068922 + ... + 202074974.

It is an arithmetic number, because the mean of its divisors is an integer number (22053129798).

Almost surely, 21223141501244 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 1223141501244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587825345456).

1223141501244 is an abundant number, since it is smaller than the sum of its proper divisors (1952509189668).

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

1223141501244 is a wasteful number, since it uses less digits than its factorization.

1223141501244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1223141501244 its reverse (4421051413221), we get a palindrome (5644192914465).

The spelling of 1223141501244 in words is "one trillion, two hundred twenty-three billion, one hundred forty-one million, five hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 169 222 338 444 481 507 676 962 1014 1443 1924 2028 2693 2886 5386 5772 6053 6253 8079 10772 12106 12506 16158 18159 18759 24212 25012 32316 35009 36318 37518 70018 72636 75036 78689 99641 105027 140036 157378 199282 210054 223961 236067 298923 314756 398564 420108 447922 455117 472134 597846 671883 895844 910234 944268 1022957 1195692 1295333 1343766 1365351 1820468 2045914 2590666 2687532 2730702 2911493 3068871 3885999 4091828 5181332 5461404 5822986 6137742 7771998 8734479 11645972 12275484 15543996 16300729 16839329 17468958 32601458 33678658 34937916 37849409 48902187 50517987 65202916 67357316 75698818 97804374 101035974 113548227 151397636 195608748 202071948 211909477 227096454 423818954 454192908 603126973 635728431 847637908 1206253946 1271456862 1809380919 2412507892 2542913724 2754823201 3618761838 5509646402 7237523676 7840650649 8264469603 11019292804 15681301298 16528939206 23521951947 31362602596 33057878412 47043903894 94087807788 101928458437 203856916874 305785375311 407713833748 611570750622 1223141501244