Search a number
-
+
23021133102300 = 22352711377889083
BaseRepresentation
bin1010011110000000001100…
…11101011111110011011100
310000111210120100101121111110
411033000012131133303130
511004134240033233200
6120543432413222020
74564136065465104
oct517000635376334
9100453510347443
1023021133102300
117376231527313
1226b9796a91910
13cacb6418c2a8
1459832bb14204
1529dc74a69b50
hex14f00675fcdc

23021133102300 has 144 divisors (see below), whose sum is σ = 68038994725632. Its totient is φ = 6008324851200.

The previous prime is 23021133102293. The next prime is 23021133102301. The reversal of 23021133102300 is 320133112032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23021133102301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026442 + ... + 6862641.

It is an arithmetic number, because the mean of its divisors is an integer number (472493018928).

Almost surely, 223021133102300 is an apocalyptic number.

23021133102300 is a gapful number since it is divisible by the number (20) 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 23021133102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34019497362816).

23021133102300 is an abundant number, since it is smaller than the sum of its proper divisors (45017861623332).

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

23021133102300 is a wasteful number, since it uses less digits than its factorization.

23021133102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889308 (or 7889301 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23021133102300 its reverse (320133112032), we get a palindrome (23341266214332).

The spelling of 23021133102300 in words is "twenty-three trillion, twenty-one billion, one hundred thirty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 137 142 150 213 274 284 300 355 411 426 548 685 710 822 852 1065 1370 1420 1644 1775 2055 2130 2740 3425 3550 4110 4260 5325 6850 7100 8220 9727 10275 10650 13700 19454 20550 21300 29181 38908 41100 48635 58362 97270 116724 145905 194540 243175 291810 486350 583620 729525 972700 1459050 2918100 7889083 15778166 23667249 31556332 39445415 47334498 78890830 94668996 118336245 157781660 197227075 236672490 394454150 473344980 560124893 591681225 788908300 1080804371 1120249786 1183362450 1680374679 2161608742 2240499572 2366724900 2800624465 3242413113 3360749358 4323217484 5404021855 5601248930 6484826226 6721498716 8401873395 10808043710 11202497860 12969652452 14003122325 16212065565 16803746790 21616087420 27020109275 28006244650 32424131130 33607493580 42009366975 54040218550 56012489300 64848262260 76737110341 81060327825 84018733950 108080437100 153474220682 162120655650 168037467900 230211331023 306948441364 324241311300 383685551705 460422662046 767371103410 920845324092 1151056655115 1534742206820 1918427758525 2302113310230 3836855517050 4604226620460 5755283275575 7673711034100 11510566551150 23021133102300