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230310213122040 = 233537791704129803
BaseRepresentation
bin110100010111011101000110…
…011100001111011111111000
31010012110102220202001012101220
4310113131012130033133320
5220141400304024401130
62133455015024312040
766340235532030402
oct6427350634173770
91105412822035356
10230310213122040
1167425016150427
12219b77b4472620
139b682104170bc
1440c31066b1b72
151b95d6ce82410
hexd1774670f7f8

230310213122040 has 128 divisors (see below), whose sum is σ = 691177220294400. Its totient is φ = 61394141767680.

The previous prime is 230310213122027. The next prime is 230310213122071. The reversal of 230310213122040 is 40221312013032.

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 230310213122040.

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, 7727737779 + ... + 7727767581.

It is an arithmetic number, because the mean of its divisors is an integer number (5399822033550).

Almost surely, 2230310213122040 is an apocalyptic number.

230310213122040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230310213122040 is an abundant number, since it is smaller than the sum of its proper divisors (460867007172360).

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

230310213122040 is a wasteful number, since it uses less digits than its factorization.

230310213122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50637 (or 50633 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 230310213122040 its reverse (40221312013032), we get a palindrome (270531525135072).

The spelling of 230310213122040 in words is "two hundred thirty trillion, three hundred ten billion, two hundred thirteen million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3779 7558 11337 15116 17041 18895 22674 29803 30232 34082 37790 45348 51123 56685 59606 68164 75580 85205 89409 90696 102246 113370 119212 136328 149015 151160 170410 178818 204492 226740 238424 255615 298030 340820 357636 408984 447045 453480 511230 596060 681640 715272 894090 1022460 1192120 1788180 2044920 3576360 64397939 112625537 128795878 193193817 225251074 257591756 321989695 337876611 386387634 450502148 507872923 515183512 563127685 643979390 675753222 772775268 901004296 965969085 1015745846 1126255370 1287958780 1351506444 1523618769 1545550536 1689383055 1931938170 2031491692 2252510740 2539364615 2575917560 2703012888 3047237538 3378766110 3863876340 4062983384 4505021480 5078729230 6094475076 6757532220 7618093845 7727752680 10157458460 12188950152 13515064440 15236187690 20314916920 30472375380 60944750760 1919251776017 3838503552034 5757755328051 7677007104068 9596258880085 11515510656102 15354014208136 19192517760170 23031021312204 28788776640255 38385035520340 46062042624408 57577553280510 76770071040680 115155106561020 230310213122040