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100022001030 = 232571933372441
BaseRepresentation
bin101110100100111000…
…1101001110110000110
3100120011201001002222200
41131021301221312012
53114321113013110
6113541030335330
710140431660310
oct1351161516606
9316151032880
10100022001030
11394678a2876
12174751ba546
1395802438c3
144babd4a7b0
1529061336c0
hex1749c69d86

100022001030 has 192 divisors, whose sum is σ = 299757414528. Its totient is φ = 22666936320.

The previous prime is 100022000983. The next prime is 100022001031. The reversal of 100022001030 is 30100220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40974610 + ... + 40977050.

It is an arithmetic number, because the mean of its divisors is an integer number (1561236534).

Almost surely, 2100022001030 is an apocalyptic number.

100022001030 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 100022001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149878707264).

100022001030 is an abundant number, since it is smaller than the sum of its proper divisors (199735413498).

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

100022001030 is a wasteful number, since it uses less digits than its factorization.

100022001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100022001030 its reverse (30100220001), we get a palindrome (130122221031).

The spelling of 100022001030 in words is "one hundred billion, twenty-two million, one thousand, thirty".