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100023200121 = 3133769316147
BaseRepresentation
bin101110100100111011…
…0001110100101111001
3100120011210022000211110
41131021312032211321
53114321414400441
6113541112150533
710140445113225
oct1351166164571
9316153260743
10100023200121
1139468541759
1217475698449
139580573620
144bac17d785
1529062bdb16
hex1749d8e979

100023200121 has 16 divisors (see below), whose sum is σ = 147504762944. Its totient is φ = 59889150144.

The previous prime is 100023200117. The next prime is 100023200153. The reversal of 100023200121 is 121002320001.

It is not a de Polignac number, because 100023200121 - 22 = 100023200117 is a prime.

It is a super-2 number, since 2×1000232001212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100023200097 and 100023200106.

It is not an unprimeable number, because it can be changed into a prime (100023200111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34656631 + ... + 34659516.

It is an arithmetic number, because the mean of its divisors is an integer number (9219047684).

Almost surely, 2100023200121 is an apocalyptic number.

It is an amenable number.

100023200121 is a deficient number, since it is larger than the sum of its proper divisors (47481562823).

100023200121 is a wasteful number, since it uses less digits than its factorization.

100023200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69316200.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100023200121 its reverse (121002320001), we get a palindrome (221025520122).

It can be divided in two parts, 10002 and 3200121, that added together give a palindrome (3210123).

The spelling of 100023200121 in words is "one hundred billion, twenty-three million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 13 37 39 111 481 1443 69316147 207948441 901109911 2564697439 2703329733 7694092317 33341066707 100023200121