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2123110110300 = 2235271225144281
BaseRepresentation
bin11110111001010011001…
…110010101010001011100
321111222010012020102201220
4132321103032111101130
5234241112142012200
64303202053533340
7306250435114314
oct36712316252134
97458105212656
102123110110300
117494513428a3
122a3581344250
13125292ba659a
1474a8aca2444
153a3610274a0
hex1ee5339545c

2123110110300 has 144 divisors (see below), whose sum is σ = 6232292607744. Its totient is φ = 557928000000.

The previous prime is 2123110110299. The next prime is 2123110110349. The reversal of 2123110110300 is 30110113212.

It is a happy number.

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 2123110110300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47924160 + ... + 47968440.

It is an arithmetic number, because the mean of its divisors is an integer number (43279809776).

Almost surely, 22123110110300 is an apocalyptic number.

2123110110300 is a gapful number since it is divisible by the number (20) 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 2123110110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116146303872).

2123110110300 is an abundant number, since it is smaller than the sum of its proper divisors (4109182497444).

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

2123110110300 is a wasteful number, since it uses less digits than its factorization.

2123110110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46620 (or 46613 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2123110110300 its reverse (30110113212), we get a palindrome (2153220223512).

The spelling of 2123110110300 in words is "two trillion, one hundred twenty-three billion, one hundred ten million, one hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 2251 3550 4260 4502 5325 6753 7100 9004 10650 11255 13506 21300 22510 27012 33765 44281 45020 56275 67530 88562 112550 132843 135060 159821 168825 177124 221405 225100 265686 319642 337650 442810 479463 531372 639284 664215 675300 799105 885620 958926 1107025 1328430 1598210 1917852 2214050 2397315 2656860 3143951 3196420 3321075 3995525 4428100 4794630 6287902 6642150 7991050 9431853 9589260 11986575 12575804 13284300 15719755 15982100 18863706 23973150 31439510 37727412 47159265 47946300 62879020 78598775 94318530 99676531 157197550 188637060 199353062 235796325 299029593 314395100 398706124 471592650 498382655 598059186 943185300 996765310 1196118372 1495147965 1993530620 2491913275 2990295930 4983826550 5980591860 7077033701 7475739825 9967653100 14154067402 14951479650 21231101103 28308134804 29902959300 35385168505 42462202206 70770337010 84924404412 106155505515 141540674020 176925842525 212311011030 353851685050 424622022060 530777527575 707703370100 1061555055150 2123110110300