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121631430 = 23517214029
BaseRepresentation
bin1110011111111…
…11001011000110
322110212111221210
413033333023012
5222114201210
620022552250
73004564404
oct717771306
9273774853
10121631430
1162726548
1234898686
131c27867b
1412222474
15aa28e20
hex73ff2c6

121631430 has 48 divisors (see below), whose sum is σ = 310119120. Its totient is φ = 30524928.

The previous prime is 121631399. The next prime is 121631431. The reversal of 121631430 is 34136121.

It is a junction number, because it is equal to n+sod(n) for n = 121631397 and 121631406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121631431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656 + ... + 15684.

It is an arithmetic number, because the mean of its divisors is an integer number (6460815).

Almost surely, 2121631430 is an apocalyptic number.

121631430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121631430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155059560).

121631430 is an abundant number, since it is smaller than the sum of its proper divisors (188487690).

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

121631430 is a wasteful number, since it uses less digits than its factorization.

121631430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14073 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 121631430 is about 11028.6640170059. The cubic root of 121631430 is about 495.4676124010.

Adding to 121631430 its reverse (34136121), we get a palindrome (155767551).

The spelling of 121631430 in words is "one hundred twenty-one million, six hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 8670 14029 28058 42087 70145 84174 140290 210435 238493 420870 476986 715479 1192465 1430958 2384930 3577395 4054381 7154790 8108762 12163143 20271905 24326286 40543810 60815715 121631430