Search a number
-
+
10233002300100 = 2235273733637463
BaseRepresentation
bin1001010011101000111001…
…1101111001001011000100
31100020021011112011111011220
42110322032131321023010
52320124142042100400
633432550521000340
72104211223252546
oct224721635711304
940207145144156
1010233002300100
11329587902a7a8
1211932839230b0
13592c7784ac08
142753cc29d696
1512b2b588b7a0
hex94e8e7792c4

10233002300100 has 144 divisors (see below), whose sum is σ = 30054061333632. Its totient is φ = 2687743779840.

The previous prime is 10233002300099. The next prime is 10233002300153. The reversal of 10233002300100 is 100320033201.

10233002300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10233002300100.

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, 15733969 + ... + 16371431.

Almost surely, 210233002300100 is an apocalyptic number.

10233002300100 is a gapful number since it is divisible by the number (10) 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 10233002300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027030666816).

10233002300100 is an abundant number, since it is smaller than the sum of its proper divisors (19821059033532).

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

10233002300100 is a wasteful number, since it uses less digits than its factorization.

10233002300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638286 (or 638279 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10233002300100 its reverse (100320033201), we get a palindrome (10333322333301).

The spelling of 10233002300100 in words is "ten trillion, two hundred thirty-three billion, two million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 733 876 1095 1460 1466 1825 2190 2199 2932 3650 3665 4380 4398 5475 7300 7330 8796 10950 10995 14660 18325 21900 21990 36650 43980 53509 54975 73300 107018 109950 160527 214036 219900 267545 321054 535090 637463 642108 802635 1070180 1274926 1337725 1605270 1912389 2549852 2675450 3187315 3210540 3824778 4013175 5350900 6374630 7649556 8026350 9561945 12749260 15936575 16052700 19123890 31873150 38247780 46534799 47809725 63746300 93069598 95619450 139604397 186139196 191238900 232673995 279208794 465347990 467260379 558417588 698021985 930695980 934520758 1163369975 1396043970 1401781137 1869041516 2326739950 2336301895 2792087940 2803562274 3490109925 4653479900 4672603790 5607124548 6980219850 7008905685 9345207580 11681509475 13960439700 14017811370 23363018950 28035622740 34110007667 35044528425 46726037900 68220015334 70089056850 102330023001 136440030668 140178113700 170550038335 204660046002 341100076670 409320092004 511650115005 682200153340 852750191675 1023300230010 1705500383350 2046600460020 2558250575025 3411000766700 5116501150050 10233002300100