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101001022002 = 232113281176713
BaseRepresentation
bin101111000010000100…
…0010100101000110010
3100122200221020112021200
41132010020110220302
53123322230201002
6114222122232030
710203620343666
oct1360410245062
9318627215250
10101001022002
113991a497811
12176a9055616
1396a8016b5a
144c61d968a6
15296206db1c
hex1784214a32

101001022002 has 48 divisors (see below), whose sum is σ = 221559065208. Its totient is φ = 33250129920.

The previous prime is 101001021991. The next prime is 101001022037. The reversal of 101001022002 is 200220100101.

It can be written as a sum of positive squares in 4 ways, for example, as 52569776961 + 48431245041 = 229281^2 + 220071^2 .

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

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, 483198 + ... + 659910.

Almost surely, 2101001022002 is an apocalyptic number.

101001022002 is an abundant number, since it is smaller than the sum of its proper divisors (120558043206).

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

101001022002 is a wasteful number, since it uses less digits than its factorization.

101001022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177115 (or 177112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101001022002 its reverse (200220100101), we get a palindrome (301221122103).

The spelling of 101001022002 in words is "one hundred one billion, one million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 113 226 281 339 562 678 843 1017 1686 2034 2529 5058 31753 63506 95259 176713 190518 285777 353426 530139 571554 1060278 1590417 3180834 19968569 39937138 49656353 59905707 99312706 119811414 148969059 179717121 297938118 359434242 446907177 893814354 5611167889 11222335778 16833503667 33667007334 50500511001 101001022002