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2100023120 = 2451373139199
BaseRepresentation
bin111110100101011…
…1100111101010000
312102100120020011002
41331022330331100
513300101214440
6544214441132
7103016621246
oct17512747520
95370506132
102100023120
119884544a8
124a73631a8
132760c8540
1415cc94796
15c456e115
hex7d2bcf50

2100023120 has 160 divisors (see below), whose sum is σ = 5395488000. Its totient is φ = 755453952.

The previous prime is 2100023117. The next prime is 2100023137. The reversal of 2100023120 is 213200012.

It is a happy number.

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, 10552781 + ... + 10552979.

It is an arithmetic number, because the mean of its divisors is an integer number (33721800).

Almost surely, 22100023120 is an apocalyptic number.

2100023120 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 2100023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697744000).

2100023120 is an abundant number, since it is smaller than the sum of its proper divisors (3295464880).

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

2100023120 is a wasteful number, since it uses less digits than its factorization.

2100023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2100023120 is about 45826.0092087452. The cubic root of 2100023120 is about 1280.5838644925.

Adding to 2100023120 its reverse (213200012), we get a palindrome (2313223132).

The spelling of 2100023120 in words is "two billion, one hundred million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 139 146 199 208 260 278 292 365 398 520 556 584 695 730 796 949 995 1040 1112 1168 1390 1460 1592 1807 1898 1990 2224 2587 2780 2920 3184 3614 3796 3980 4745 5174 5560 5840 7228 7592 7960 9035 9490 10147 10348 11120 12935 14456 14527 15184 15920 18070 18980 20294 20696 25870 27661 28912 29054 36140 37960 40588 41392 50735 51740 55322 58108 72280 72635 75920 81176 101470 103480 110644 116216 131911 138305 144560 145270 162352 188851 202940 206960 221288 232432 263822 276610 290540 359593 377702 405880 442576 527644 553220 581080 659555 719186 755404 811760 944255 1055288 1106440 1162160 1319110 1438372 1510808 1797965 1888510 2019253 2110576 2212880 2638220 2876744 3021616 3595930 3777020 4038506 5276440 5753488 7191860 7554040 8077012 10096265 10552880 14383720 15108080 16154024 20192530 26250289 28767440 32308048 40385060 52500578 80770120 105001156 131251445 161540240 210002312 262502890 420004624 525005780 1050011560 2100023120