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10113524980062 = 2372354796719793
BaseRepresentation
bin1001001100101011110100…
…0100000101100101011110
31022210211202221111202210120
42103022331010011211132
52311144444343330222
633302031135215410
72062451401634460
oct223127504054536
938724687452716
1010113524980062
11324a138212899
12117409b077566
13584916a29b3a
1426d6d6534130
1512812172e15c
hex932bd10595e

10113524980062 has 128 divisors (see below), whose sum is σ = 24192010174464. Its totient is φ = 2755899514368.

The previous prime is 10113524980061. The next prime is 10113524980063. The reversal of 10113524980062 is 26008942531101.

It is an interprime number because it is at equal distance from previous prime (10113524980061) and next prime (10113524980063).

It is a super-3 number, since 3×101135249800623 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10113524979996 and 10113524980023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113524980061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510954838 + ... + 510974630.

It is an arithmetic number, because the mean of its divisors is an integer number (189000079488).

Almost surely, 210113524980062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113524980062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096005087232).

10113524980062 is an abundant number, since it is smaller than the sum of its proper divisors (14078485194402).

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

10113524980062 is a wasteful number, since it uses less digits than its factorization.

10113524980062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342.

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 10113524980062 in words is "ten trillion, one hundred thirteen billion, five hundred twenty-four million, nine hundred eighty thousand, sixty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 547 966 967 1094 1641 1934 2901 3282 3829 5802 6769 7658 11487 12581 13538 19793 20307 22241 22974 25162 37743 39586 40614 44482 59379 66723 75486 88067 118758 133446 138551 155687 176134 264201 277102 311374 415653 455239 467061 528402 528949 831306 910478 934122 1057898 1365717 1586847 2731434 3173694 3186673 3702643 6373346 7405286 9560019 10826771 11107929 12165827 19120038 19139831 21653542 22215858 24331654 32480313 36497481 38279662 57419493 64960626 72994962 75787397 85160789 114838986 133978817 151574794 170321578 227362191 249015733 255482367 267957634 401936451 440216113 454724382 498031466 510964734 747047199 803872902 880432226 1320648339 1494094398 1743110131 2641296678 3081512791 3486220262 5229330393 6163025582 9244538373 10458660786 10469487557 18489076746 20938975114 31408462671 62816925342 73286412899 146572825798 219859238697 240798213811 439718477394 481596427622 722394641433 1444789282866 1685587496677 3371174993354 5056762490031 10113524980062