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113022110213430 = 235113723094008887
BaseRepresentation
bin11001101100101100000010…
…101110110010010100110110
3112211011210211012002021102220
4121230230002232302110312
5104303223240203312210
61040213350213543210
732543402152503405
oct3154540256622466
9484153735067386
10113022110213430
113301545380a530
1210814538044b06
134b0ac29731892
141dca4294a763c
15d0ee700a5c70
hex66cb02bb2536

113022110213430 has 128 divisors (see below), whose sum is σ = 304041762984960. Its totient is φ = 26647225597440.

The previous prime is 113022110213413. The next prime is 113022110213477. The reversal of 113022110213430 is 34312011220311.

It is a self number, because there is not a number n which added to its sum of digits gives 113022110213430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26188447 + ... + 30197333.

It is an arithmetic number, because the mean of its divisors is an integer number (2375326273320).

Almost surely, 2113022110213430 is an apocalyptic number.

113022110213430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113022110213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152020881492480).

113022110213430 is an abundant number, since it is smaller than the sum of its proper divisors (191019652771530).

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

113022110213430 is a wasteful number, since it uses less digits than its factorization.

113022110213430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011254.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113022110213430 its reverse (34312011220311), we get a palindrome (147334121433741).

The spelling of 113022110213430 in words is "one hundred thirteen trillion, twenty-two billion, one hundred ten million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2309 2442 4070 4618 6105 6927 11545 12210 13854 23090 25399 34635 50798 69270 76197 85433 126995 152394 170866 253990 256299 380985 427165 512598 761970 854330 939763 1281495 1879526 2562990 2819289 4008887 4698815 5638578 8017774 9397630 12026661 14096445 20044435 24053322 28192890 40088870 44097757 60133305 88195514 120266610 132293271 148328819 220488785 264586542 296657638 440977570 444986457 661466355 741644095 889972914 1322932710 1483288190 1631617009 2224932285 3263234018 4449864570 4894851027 8158085045 9256520083 9789702054 16316170090 18513040166 24474255135 27769560249 46282600415 48948510270 55539120498 92565200830 101821720913 138847801245 203643441826 277695602490 305465162739 342491243071 509108604565 610930325478 684982486142 1018217209130 1027473729213 1527325813695 1712456215355 2054947458426 3054651627390 3424912430710 3767403673781 5137368646065 7534807347562 10274737292130 11302211021343 18837018368905 22604422042686 37674036737810 56511055106715 113022110213430