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423201421242100 = 225250923417355057
BaseRepresentation
bin110000000111001100100001…
…0011000011010111011110100
32001111102122211200121011101101
41200032121002120122323310
5420432213002314221400
64100024014324535444
7155066202510352324
oct14016310230327364
92044378750534341
10423201421242100
111129327954a8856
123b56b32b851584
131521a951c58bb7
1476710b5521284
1533dd69081b56a
hex180e64261aef4

423201421242100 has 72 divisors (see below), whose sum is σ = 920193188163480. Its totient is φ = 168940303134720.

The previous prime is 423201421242053. The next prime is 423201421242109. The reversal of 423201421242100 is 1242124102324.

It can be written as a sum of positive squares in 12 ways, for example, as 8166495013264 + 415034926228836 = 2857708^2 + 20372406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423201421242109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191747772 + ... + 1192102828.

It is an arithmetic number, because the mean of its divisors is an integer number (12780460946715).

Almost surely, 2423201421242100 is an apocalyptic number.

It is an amenable number.

423201421242100 is an abundant number, since it is smaller than the sum of its proper divisors (496991766921380).

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

423201421242100 is a wasteful number, since it uses less digits than its factorization.

423201421242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378997 (or 378990 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 423201421242100 its reverse (1242124102324), we get a palindrome (424443545344424).

The spelling of 423201421242100 in words is "four hundred twenty-three trillion, two hundred one billion, four hundred twenty-one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 509 1018 2036 2545 5090 10180 12725 23417 25450 46834 50900 93668 117085 234170 355057 468340 585425 710114 1170850 1420228 1775285 2341700 3550570 7101140 8876425 11919253 17752850 23838506 35505700 47677012 59596265 119192530 180724013 238385060 297981325 361448026 595962650 722896052 903620065 1191925300 1807240130 3614480260 4518100325 8314369769 9036200650 16628739538 18072401300 33257479076 41571848845 83143697690 166287395380 207859244225 415718488450 831436976900 4232014212421 8464028424842 16928056849684 21160071062105 42320142124210 84640284248420 105800355310525 211600710621050 423201421242100