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1122089020680 = 233523937433889
BaseRepresentation
bin10000010101000001101…
…101111010110100001000
310222021022022110021121210
4100111001231322310020
5121341014242130210
62215251445533120
7144032261206515
oct20250155726410
93867268407553
101122089020680
113a2969aaa191
121615754141a0
1381a741c8504
143c448dbc30c
151e2c4d15e20
hex10541b7ad08

1122089020680 has 128 divisors (see below), whose sum is σ = 3516383404800. Its totient is φ = 285907894272.

The previous prime is 1122089020673. The next prime is 1122089020681. The reversal of 1122089020680 is 860209802211.

It is not an unprimeable number, because it can be changed into a prime (1122089020681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369176 + ... + 2803064.

It is an arithmetic number, because the mean of its divisors is an integer number (27471745350).

Almost surely, 21122089020680 is an apocalyptic number.

1122089020680 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 1122089020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758191702400).

1122089020680 is an abundant number, since it is smaller than the sum of its proper divisors (2394294384120).

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

1122089020680 is a wasteful number, since it uses less digits than its factorization.

1122089020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434863 (or 434859 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 1122089020680 in words is "one trillion, one hundred twenty-two billion, eighty-nine million, twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 937 1380 1874 2760 2811 3748 4685 5622 7496 9370 11244 14055 18740 21551 22488 28110 37480 43102 56220 64653 86204 107755 112440 129306 172408 215510 258612 323265 431020 433889 517224 646530 862040 867778 1293060 1301667 1735556 2169445 2586120 2603334 3471112 4338890 5206668 6508335 8677780 9979447 10413336 13016670 17355560 19958894 26033340 29938341 39917788 49897235 52066680 59876682 79835576 99794470 119753364 149691705 199588940 239506728 299383410 399177880 406553993 598766820 813107986 1197533640 1219661979 1626215972 2032769965 2439323958 3252431944 4065539930 4878647916 6098309895 8131079860 9350741839 9757295832 12196619790 16262159720 18701483678 24393239580 28052225517 37402967356 46753709195 48786479160 56104451034 74805934712 93507418390 112208902068 140261127585 187014836780 224417804136 280522255170 374029673560 561044510340 1122089020680