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2102232110120 = 2351743265727059
BaseRepresentation
bin11110100101110110110…
…011000101010000101000
321102222020011121010122222
4132211312303011100220
5233420332410010440
64245430241533212
7304611162050162
oct36456663052050
97388204533588
102102232110120
1174060824829a
1229b515344208
13123316638a1c
1473a6a149932
1539a3d1782b5
hex1e976cc5428

2102232110120 has 128 divisors (see below), whose sum is σ = 5126848214400. Its totient is φ = 772703748096.

The previous prime is 2102232110101. The next prime is 2102232110203. The reversal of 2102232110120 is 210112322012.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 77677151 + ... + 77704209.

It is an arithmetic number, because the mean of its divisors is an integer number (40053501675).

Almost surely, 22102232110120 is an apocalyptic number.

2102232110120 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 2102232110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563424107200).

2102232110120 is an abundant number, since it is smaller than the sum of its proper divisors (3024616104280).

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

2102232110120 is a wasteful number, since it uses less digits than its factorization.

2102232110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29787 (or 29783 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2102232110120 its reverse (210112322012), we get a palindrome (2312344432132).

The spelling of 2102232110120 in words is "two trillion, one hundred two billion, two hundred thirty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2657 2924 3655 5314 5848 7310 10628 13285 14620 21256 26570 27059 29240 45169 53140 54118 90338 106280 108236 114251 135295 180676 216472 225845 228502 270590 361352 451690 457004 460003 541180 571255 903380 914008 920006 1082360 1142510 1163537 1806760 1840012 1942267 2285020 2300015 2327074 3680024 3884534 4570040 4600030 4654148 5817685 7769068 9200060 9308296 9711335 11635370 15538136 18400120 19422670 19780129 23270740 38845340 39560258 46541480 71895763 77690680 79120516 98900645 143791526 158241032 197801290 287583052 359478815 395602580 575166104 718957630 791205160 1222227971 1437915260 2444455942 2875830520 3091517809 4888911884 6111139855 6183035618 9777823768 12222279710 12366071236 15457589045 24444559420 24732142472 30915178090 48889118840 52555802753 61830356180 105111605506 123660712360 210223211012 262779013765 420446422024 525558027530 1051116055060 2102232110120