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213111113114040 = 23357948767460969
BaseRepresentation
bin110000011101001011001100…
…001100011110000110111000
31000221120020000220001121121220
4300131023030030132012320
5210413103024424122130
62033125521021432040
762613525023062131
oct6035131414360670
91027506026047556
10213111113114040
11619a3a08615209
121ba9a44070b620
1391bb3a3c36c4b
143a8a8c09c2c88
1519987983e5410
hexc1d2cc31e1b8

213111113114040 has 128 divisors (see below), whose sum is σ = 647440846848000. Its totient is φ = 56108995458048.

The previous prime is 213111113114021. The next prime is 213111113114059. The reversal of 213111113114040 is 40411311111312.

It is an interprime number because it is at equal distance from previous prime (213111113114021) and next prime (213111113114059).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213111113114040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462080676 + ... + 462541644.

It is an arithmetic number, because the mean of its divisors is an integer number (5058131616000).

Almost surely, 2213111113114040 is an apocalyptic number.

213111113114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213111113114040 is an abundant number, since it is smaller than the sum of its proper divisors (434329733733960).

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

213111113114040 is a wasteful number, since it uses less digits than its factorization.

213111113114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509829 (or 509825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 213111113114040 its reverse (40411311111312), we get a palindrome (253522424225352).

The spelling of 213111113114040 in words is "two hundred thirteen trillion, one hundred eleven billion, one hundred thirteen million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 48767 97534 146301 195068 243835 292602 390136 460969 487670 585204 731505 921938 975340 1170408 1382907 1463010 1843876 1950680 2304845 2765814 2926020 3687752 3852593 4609690 5531628 5852040 6914535 7705186 9219380 11063256 11557779 13829070 15410372 18438760 19262965 23115558 27658140 30820744 36416551 38525930 46231116 55316280 57788895 72833102 77051860 92462232 109249653 115577790 145666204 154103720 182082755 218499306 231155580 291332408 364165510 436998612 462311160 546248265 728331020 873997224 1092496530 1456662040 2184993060 4369986120 22480075223 44960150446 67440225669 89920300892 112400376115 134880451338 179840601784 224800752230 269760902676 337201128345 449601504460 539521805352 674402256690 899203008920 1348804513380 1775925942617 2697609026760 3551851885234 5327777827851 7103703770468 8879629713085 10655555655702 14207407540936 17759259426170 21311111311404 26638889139255 35518518852340 42622222622808 53277778278510 71037037704680 106555556557020 213111113114040