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423220443101310 = 235175325576123361
BaseRepresentation
bin110000000111010101011000…
…0001011000011100001111110
32001111111110221100120201201110
41200032222300023003201332
5420433020431413220220
64100040442033222450
7155100445054446651
oct14016526013034176
92044443840521643
10423220443101310
1111293a866884158
123b572b5a101a26
131521c693aab0aa
147671d9b949898
1533dde05772be0
hex180eab02c387e

423220443101310 has 128 divisors (see below), whose sum is σ = 1096198582760064. Its totient is φ = 104175107112960.

The previous prime is 423220443101251. The next prime is 423220443101369. The reversal of 423220443101310 is 13101344022324.

It is an interprime number because it is at equal distance from previous prime (423220443101251) and next prime (423220443101369).

It is a super-2 number, since 2×4232204431013102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66054030 + ... + 72177390.

It is an arithmetic number, because the mean of its divisors is an integer number (8564051427813).

Almost surely, 2423220443101310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423220443101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548099291380032).

423220443101310 is an abundant number, since it is smaller than the sum of its proper divisors (672978139658754).

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

423220443101310 is a wasteful number, since it uses less digits than its factorization.

423220443101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125998.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 423220443101310 its reverse (13101344022324), we get a palindrome (436321787123634).

The spelling of 423220443101310 in words is "four hundred twenty-three trillion, two hundred twenty billion, four hundred forty-three million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 510 530 795 901 1590 1802 2557 2703 4505 5114 5406 7671 9010 12785 13515 15342 25570 27030 38355 43469 76710 86938 130407 135521 217345 260814 271042 406563 434690 652035 677605 813126 1304070 1355210 2032815 2303857 4065630 4607714 6123361 6911571 11519285 12246722 13823142 18370083 23038570 30616805 34557855 36740166 61233610 69115710 91850415 104097137 183700830 208194274 312291411 324538133 520485685 624582822 649076266 973614399 1040971370 1561457055 1622690665 1947228798 3122914110 3245381330 4868071995 5517148261 9736143990 11034296522 15657434077 16551444783 27585741305 31314868154 33102889566 46972302231 55171482610 78287170385 82757223915 93944604462 156574340770 165514447830 234861511155 266176379309 469723022310 532352758618 798529137927 829844006081 1330881896545 1597058275854 1659688012162 2489532018243 2661763793090 3992645689635 4149220030405 4979064036486 7985291379270 8298440060810 12447660091215 14107348103377 24895320182430 28214696206754 42322044310131 70536740516885 84644088620262 141073481033770 211610221550655 423220443101310