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321430100213000 = 235316712971483987
BaseRepresentation
bin100100100010101101100011…
…0111100010111110100001000
31120011002102021100021010202102
41021011123012330113310020
5314112302321123304000
63055342541033052532
7124463362345661042
oct11105330674276410
91504072240233672
10321430100213000
11934658159a5339
1230073382257148
1310a4796137422c
14595342ab52a92
1527262041763d5
hex12456c6f17d08

321430100213000 has 128 divisors (see below), whose sum is σ = 757234200602880. Its totient is φ = 127703524838400.

The previous prime is 321430100212987. The next prime is 321430100213017. The reversal of 321430100213000 is 312001034123.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 215857007 + ... + 217340993.

It is an arithmetic number, because the mean of its divisors is an integer number (5915892192210).

Almost surely, 2321430100213000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321430100213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378617100301440).

321430100213000 is an abundant number, since it is smaller than the sum of its proper divisors (435804100389880).

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

321430100213000 is a wasteful number, since it uses less digits than its factorization.

321430100213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485472 (or 1485458 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 321430100213000 its reverse (312001034123), we get a palindrome (321742101247123).

The spelling of 321430100213000 in words is "three hundred twenty-one trillion, four hundred thirty billion, one hundred million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 250 334 500 668 835 1000 1297 1336 1670 2594 3340 4175 5188 6485 6680 8350 10376 12970 16700 20875 25940 32425 33400 41750 51880 64850 83500 129700 162125 167000 216599 259400 324250 433198 648500 866396 1082995 1297000 1483987 1732792 2165990 2967974 4331980 5414975 5935948 7419935 8663960 10829950 11871896 14839870 21659900 27074875 29679740 37099675 43319800 54149750 59359480 74199350 108299500 148398700 185498375 216599000 247825829 296797400 370996750 495651658 741993500 991303316 1239129145 1483987000 1924731139 1982606632 2478258290 3849462278 4956516580 6195645725 7698924556 9623655695 9913033160 12391291450 15397849112 19247311390 24782582900 30978228625 38494622780 48118278475 49565165800 61956457250 76989245560 96236556950 123912914500 192473113900 240591392375 247825829000 321430100213 384946227800 481182784750 642860200426 962365569500 1285720400852 1607150501065 1924731139000 2571440801704 3214301002130 6428602004260 8035752505325 12857204008520 16071505010650 32143010021300 40178762526625 64286020042600 80357525053250 160715050106500 321430100213000