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102022211204130 = 2357539166416101
BaseRepresentation
bin10111001100100111100101…
…101010000111010000100010
3111101020020011022110110022210
4113030213211222013100202
5101333012442032013010
61000552205022542550
730326601333566430
oct2714474552072042
9441206138413283
10102022211204130
112a564416569408
12b538708137a56
1344c086520a249
141b29c894ddd50
15bbdc726e9b20
hex5cc9e5a87422

102022211204130 has 64 divisors (see below), whose sum is σ = 285112206436608. Its totient is φ = 22879374585600.

The previous prime is 102022211204119. The next prime is 102022211204149. The reversal of 102022211204130 is 31402112220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102022211204097 and 102022211204106.

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, 4583196921 + ... + 4583219180.

It is an arithmetic number, because the mean of its divisors is an integer number (4454878225572).

Almost surely, 2102022211204130 is an apocalyptic number.

102022211204130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102022211204130 is an abundant number, since it is smaller than the sum of its proper divisors (183089995232478).

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

102022211204130 is a wasteful number, since it uses less digits than its factorization.

102022211204130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166416171.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102022211204130 its reverse (31402112220201), we get a palindrome (133424323424331).

The spelling of 102022211204130 in words is "one hundred two trillion, twenty-two billion, two hundred eleven million, two hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 11130 9166416101 18332832202 27499248303 45832080505 54998496606 64164912707 91664161010 128329825414 137496241515 192494738121 274992483030 320824563535 384989476242 485820053353 641649127070 962473690605 971640106706 1457460160059 1924947381210 2429100266765 2914920320118 3400740373471 4858200533530 6801480746942 7287300800295 10202221120413 14574601600590 17003701867355 20404442240826 34007403734710 51011105602065 102022211204130