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100132213300203 = 373413109763403
BaseRepresentation
bin10110110001000111011001…
…000000010001101111101011
3111010112112202002222002000010
4112301013121000101233223
5101111031233101101303
6552544034224343003
730043212406512000
oct2661073100215753
9433475662862003
10100132213300203
11299a5918a6a527
12b292363774a63
1343b4572727b66
141aa25d421b8a7
15b89a06acac03
hex5b11d9011beb

100132213300203 has 64 divisors (see below), whose sum is σ = 159545328768000. Its totient is φ = 55804808344320.

The previous prime is 100132213300201. The next prime is 100132213300277. The reversal of 100132213300203 is 302003312231001.

It is not a de Polignac number, because 100132213300203 - 21 = 100132213300201 is a prime.

It is a super-3 number, since 3×1001322133002033 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100132213300203.

It is not an unprimeable number, because it can be changed into a prime (100132213300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130783900 + ... + 131547302.

It is an arithmetic number, because the mean of its divisors is an integer number (2492895762000).

Almost surely, 2100132213300203 is an apocalyptic number.

100132213300203 is a deficient number, since it is larger than the sum of its proper divisors (59413115467797).

100132213300203 is an equidigital number, since it uses as much as digits as its factorization.

100132213300203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766577 (or 766563 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100132213300203 its reverse (302003312231001), we get a palindrome (402135525531204).

The spelling of 100132213300203 in words is "one hundred trillion, one hundred thirty-two billion, two hundred thirteen million, three hundred thousand, two hundred three".

Divisors: 1 3 7 21 41 49 123 147 287 343 861 1029 2009 3109 6027 9327 14063 21763 42189 65289 127469 152341 382407 457023 763403 892283 1066387 2290209 2676849 3199161 5343821 6245981 16031463 18737943 31299523 37406747 43721867 93898569 112220241 131165601 219096661 261847229 657289983 785541687 1533676627 2373419927 4601029881 7120259781 10735736389 16613939489 32207209167 49841818467 97310217007 116297576423 291930651021 348892729269 681171519049 814083034961 2043514557147 2442249104883 4768200633343 14304601900029 33377404433401 100132213300203