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4103200101132 = 2235111392760889
BaseRepresentation
bin111011101101011001110…
…010001101001100001100
3112112021002001220000200000
4323231121302031030030
51014211323211214012
612420552322204300
7602306060252406
oct73553162151414
915467061800600
104103200101132
11134218053a050
125632894b3690
13239c125b0a32
1410284b3b3b76
1571b01112ddc
hex3bb59c8d30c

4103200101132 has 144 divisors (see below), whose sum is σ = 11818376169600. Its totient is φ = 1234448242560.

The previous prime is 4103200101097. The next prime is 4103200101137. The reversal of 4103200101132 is 2311010023014.

4103200101132 is a `hidden beast` number, since 410 + 3 + 20 + 0 + 101 + 132 = 666.

It is a super-3 number, since 3×41032001011323 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4103200101137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105744 + ... + 2866632.

Almost surely, 24103200101132 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 4103200101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909188084800).

4103200101132 is an abundant number, since it is smaller than the sum of its proper divisors (7715176068468).

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

4103200101132 is a wasteful number, since it uses less digits than its factorization.

4103200101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761058 (or 2761044 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 4103200101132 its reverse (2311010023014), we get a palindrome (6414210124146).

The spelling of 4103200101132 in words is "four trillion, one hundred three billion, two hundred million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 139 162 198 243 278 297 324 396 417 486 556 594 834 891 972 1188 1251 1529 1668 1782 2502 2673 3058 3564 3753 4587 5004 5346 6116 7506 9174 10692 11259 13761 15012 18348 22518 27522 33777 41283 45036 55044 67554 82566 123849 135108 165132 247698 371547 495396 743094 1486188 2760889 5521778 8282667 11043556 16565334 24848001 30369779 33130668 49696002 60739558 74544003 91109337 99392004 121479116 149088006 182218674 223632009 273328011 298176012 364437348 383763571 447264018 546656022 670896027 767527142 819984033 894528036 1093312044 1151290713 1341792054 1535054284 1639968066 2302581426 2459952099 2683584108 3279936132 3453872139 4221399281 4605162852 4919904198 6907744278 7379856297 8442798562 9839808396 10361616417 12664197843 13815488556 14759712594 16885597124 20723232834 25328395686 29519425188 31084849251 37992593529 41446465668 50656791372 62169698502 75985187058 93254547753 113977780587 124339397004 151970374116 186509095506 227955561174 341933341761 373018191012 455911122348 683866683522 1025800025283 1367733367044 2051600050566 4103200101132