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101002030020 = 223251972848337
BaseRepresentation
bin101111000010000110…
…0001010101111000100
3100122201000010202000200
41132010030022233010
53123323004430040
6114222200010500
710203632042553
oct1360414125704
9318630122020
10101002030020
1139920016091
12176a9460a30
1396a82aa908
144c62179d9a
1529621bc630
hex178430abc4

101002030020 has 72 divisors (see below), whose sum is σ = 307928124504. Its totient is φ = 26797145088.

The previous prime is 101002029913. The next prime is 101002030033. The reversal of 101002030020 is 20030200101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18499808196 + 82502221824 = 136014^2 + 287232^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101002029984 and 101002030011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388709 + ... + 1459628.

It is an arithmetic number, because the mean of its divisors is an integer number (4276779507).

Almost surely, 2101002030020 is an apocalyptic number.

101002030020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002030020 is an abundant number, since it is smaller than the sum of its proper divisors (206926094484).

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

101002030020 is a wasteful number, since it uses less digits than its factorization.

101002030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848549 (or 2848544 counting only the distinct ones).

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

Adding to 101002030020 its reverse (20030200101), we get a palindrome (121032230121).

The spelling of 101002030020 in words is "one hundred one billion, two million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 2848337 5696674 8545011 11393348 14241685 17090022 25635033 28483370 34180044 42725055 51270066 56966740 85450110 102540132 128175165 170900220 256350330 512700660 561122389 1122244778 1683367167 2244489556 2805611945 3366734334 5050101501 5611223890 6733468668 8416835835 10100203002 11222447780 16833671670 20200406004 25250507505 33667343340 50501015010 101002030020