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1012111212300 = 2235214981127919
BaseRepresentation
bin11101011101001101000…
…01110111111100001100
310120202102202210202102120
432232212201313330030
5113040300432243200
62052542451452540
7133060026233616
oct16564641677414
93522382722376
101012111212300
11360263436a61
121441a1bb7150
137459849b456
1436db4b33db6
151b4d9b539a0
hexeba6877f0c

1012111212300 has 144 divisors (see below), whose sum is σ = 2951769408000. Its totient is φ = 267744787200.

The previous prime is 1012111212289. The next prime is 1012111212319. The reversal of 1012111212300 is 32121112101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012111212300.

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 47 ways as a sum of consecutive naturals, for example, 36237741 + ... + 36265659.

Almost surely, 21012111212300 is an apocalyptic number.

1012111212300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012111212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475884704000).

1012111212300 is an abundant number, since it is smaller than the sum of its proper divisors (1939658195700).

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

1012111212300 is a wasteful number, since it uses less digits than its factorization.

1012111212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28896 (or 28889 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1012111212300 its reverse (32121112101), we get a palindrome (1044232324401).

The spelling of 1012111212300 in words is "one trillion, twelve billion, one hundred eleven million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 811 894 1490 1622 1788 2235 2433 2980 3244 3725 4055 4470 4866 7450 8110 8940 9732 11175 12165 14900 16220 20275 22350 24330 27919 40550 44700 48660 55838 60825 81100 83757 111676 120839 121650 139595 167514 241678 243300 279190 335028 362517 418785 483356 558380 604195 697975 725034 837570 1208390 1395950 1450068 1675140 1812585 2093925 2416780 2791900 3020975 3625170 4159931 4187850 6041950 7250340 8319862 8375700 9062925 12083900 12479793 16639724 18125850 20799655 22642309 24959586 36251700 41599310 45284618 49919172 62398965 67926927 83198620 90569236 103998275 113211545 124797930 135853854 207996550 226423090 249595860 271707708 311994825 339634635 415993100 452846180 566057725 623989650 679269270 1132115450 1247979300 1358538540 1698173175 2264230900 3373704041 3396346350 6747408082 6792692700 10121112123 13494816164 16868520205 20242224246 33737040410 40484448492 50605560615 67474080820 84342601025 101211121230 168685202050 202422242460 253027803075 337370404100 506055606150 1012111212300