Search a number
-
+
101219420 = 22537433181
BaseRepresentation
bin1100000100001…
…11110001011100
321001110110221102
412002013301130
5201403010140
614013252232
72336231231
oct602076134
9231413842
10101219420
1152154715
1229a94078
1317c7c863
14d62b788
158d45e15
hex6087c5c

101219420 has 48 divisors (see below), whose sum is σ = 223452768. Its totient is φ = 38465280.

The previous prime is 101219407. The next prime is 101219431. The reversal of 101219420 is 24912101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101219392 and 101219401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30230 + ... + 33410.

It is an arithmetic number, because the mean of its divisors is an integer number (4655266).

Almost surely, 2101219420 is an apocalyptic number.

101219420 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 101219420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111726384).

101219420 is an abundant number, since it is smaller than the sum of its proper divisors (122233348).

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

101219420 is a wasteful number, since it uses less digits than its factorization.

101219420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101219420 is about 10060.7862515809. The cubic root of 101219420 is about 466.0379481214.

101219420 divided by its sum of digits (20) gives a triangular number (5060971 = T3181).

The spelling of 101219420 in words is "one hundred one million, two hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 370 430 740 860 1591 3181 3182 6362 6364 7955 12724 15905 15910 31810 31820 63620 117697 136783 235394 273566 470788 547132 588485 683915 1176970 1367830 2353940 2735660 5060971 10121942 20243884 25304855 50609710 101219420