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10411104312 = 233477132327
BaseRepresentation
bin10011011001000110…
…01101100000111000
3222212120022220020000
421230203031200320
5132310220314222
64441030033000
7515665632540
oct115443154070
928776286200
1010411104312
114462884844
1220267a8760
13c9bc1916b
1470a9b8320
1540e0169ac
hex26c8cd838

10411104312 has 160 divisors (see below), whose sum is σ = 33796984320. Its totient is φ = 2932614720.

The previous prime is 10411104299. The next prime is 10411104377. The reversal of 10411104312 is 21340111401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305893 + ... + 338219.

It is an arithmetic number, because the mean of its divisors is an integer number (211231152).

Almost surely, 210411104312 is an apocalyptic number.

10411104312 is a gapful number since it is divisible by the number (12) 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 10411104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898492160).

10411104312 is an abundant number, since it is smaller than the sum of its proper divisors (23385880008).

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

10411104312 is a wasteful number, since it uses less digits than its factorization.

10411104312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32423 (or 32410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10411104312 its reverse (21340111401), we get a palindrome (31751215713).

The spelling of 10411104312 in words is "ten billion, four hundred eleven million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 81 84 108 126 142 162 168 189 213 216 252 284 324 378 426 497 504 567 568 639 648 756 852 994 1134 1278 1491 1512 1704 1917 1988 2268 2556 2982 3834 3976 4473 4536 5112 5751 5964 7668 8946 11502 11928 13419 15336 17892 23004 26838 32327 35784 40257 46008 53676 64654 80514 96981 107352 129308 161028 193962 226289 258616 290943 322056 387924 452578 581886 678867 775848 872829 905156 1163772 1357734 1745658 1810312 2036601 2295217 2327544 2618487 2715468 3491316 4073202 4590434 5236974 5430936 6109803 6885651 6982632 8146404 9180868 10473948 12219606 13771302 16066519 16292808 18329409 18361736 20656953 20947896 24439212 27542604 32133038 36658818 41313906 48199557 48878424 55085208 61970859 64266076 73317636 82627812 96399114 123941718 128532152 144598671 146635272 165255624 185912577 192798228 247883436 289197342 371825154 385596456 433796013 495766872 578394684 743650308 867592026 1156789368 1301388039 1487300616 1735184052 2602776078 3470368104 5205552156 10411104312