Search a number
-
+
101021302020 = 223537103441797
BaseRepresentation
bin101111000010101010…
…1101011110100000100
3100122202100101212020110
41132011111223310010
53123342423131040
6114224125033020
710204254620262
oct1360525536404
9318670355213
10101021302020
113992a989461
12176b39b5770
1396ac297872
144c64955432
152963c27980
hex178556bd04

101021302020 has 96 divisors (see below), whose sum is σ = 293325596928. Its totient is φ = 25956398592.

The previous prime is 101021302013. The next prime is 101021302033. The reversal of 101021302020 is 20203120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101021301987 and 101021302005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7762 + ... + 449558.

It is an arithmetic number, because the mean of its divisors is an integer number (3055474968).

Almost surely, 2101021302020 is an apocalyptic number.

101021302020 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 101021302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146662798464).

101021302020 is an abundant number, since it is smaller than the sum of its proper divisors (192304294908).

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

101021302020 is a wasteful number, since it uses less digits than its factorization.

101021302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441949 (or 441947 counting only the distinct ones).

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

Adding to 101021302020 its reverse (20203120101), we get a palindrome (121224422121).

The spelling of 101021302020 in words is "one hundred one billion, twenty-one million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 103 111 148 185 206 222 309 370 412 444 515 555 618 740 1030 1110 1236 1545 2060 2220 3090 3811 6180 7622 11433 15244 19055 22866 38110 45732 57165 76220 114330 228660 441797 883594 1325391 1767188 2208985 2650782 4417970 5301564 6626955 8835940 13253910 16346489 26507820 32692978 45505091 49039467 65385956 81732445 91010182 98078934 136515273 163464890 182020364 196157868 227525455 245197335 273030546 326929780 455050910 490394670 546061092 682576365 910101820 980789340 1365152730 1683688367 2730305460 3367376734 5051065101 6734753468 8418441835 10102130202 16836883670 20204260404 25255325505 33673767340 50510651010 101021302020