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2100355152 = 2437193110613
BaseRepresentation
bin111110100110000…
…1110000001010000
312102101012002121120
41331030032001100
513300142331102
6544225522240
7103022503260
oct17514160120
95371162546
102100355152
11988660a05
124a74a3380
132761b36cc
1415cd3d7a0
15c45d76bc
hex7d30e050

2100355152 has 160 divisors (see below), whose sum is σ = 6738616320. Its totient is φ = 550126080.

The previous prime is 2100355141. The next prime is 2100355207. The reversal of 2100355152 is 2515530012.

It is a happy number.

It is a super-2 number, since 2×21003551522 = 8822983529065886208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192598 + ... + 203210.

It is an arithmetic number, because the mean of its divisors is an integer number (42116352).

Almost surely, 22100355152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369308160).

2100355152 is an abundant number, since it is smaller than the sum of its proper divisors (4638261168).

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

2100355152 is a wasteful number, since it uses less digits than its factorization.

2100355152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2100355152 is about 45829.6318117438. The cubic root of 2100355152 is about 1280.6513514344.

Adding to 2100355152 its reverse (2515530012), we get a palindrome (4615885164).

The spelling of 2100355152 in words is "two billion, one hundred million, three hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 589 651 744 798 868 912 1064 1178 1302 1488 1596 1736 1767 2128 2356 2604 3192 3472 3534 4123 4712 5208 6384 7068 8246 9424 10416 10613 12369 14136 16492 21226 24738 28272 31839 32984 42452 49476 63678 65968 74291 84904 98952 127356 148582 169808 197904 201647 222873 254712 297164 329003 403294 445746 509424 594328 604941 658006 806588 891492 987009 1188656 1209882 1316012 1411529 1613176 1782984 1974018 2303021 2419764 2632024 2823058 3226352 3565968 3948036 4234587 4606042 4839528 5264048 5646116 6251057 6909063 7896072 8469174 9212084 9679056 11292232 12502114 13818126 15792144 16938348 18424168 18753171 22584464 25004228 27636252 33876696 36848336 37506342 43757399 50008456 55272504 67753392 75012684 87514798 100016912 110545008 131272197 150025368 175029596 262544394 300050736 350059192 525088788 700118384 1050177576 2100355152