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102212233122020 = 22572349164649551
BaseRepresentation
bin10111001111011000100011…
…110110001101000011100100
3111101220101122021020001101112
4113033120203312031003210
5101344121123134401040
61001215352432044152
730346406264336150
oct2717304366150344
9441811567201345
10102212233122020
112a627a67a2585a
12b5694ba093658
134505759244308
141b35154326060
15bc3b94b90365
hex5cf623d8d0e4

102212233122020 has 96 divisors (see below), whose sum is σ = 256496321765376. Its totient is φ = 33452263152000.

The previous prime is 102212233121969. The next prime is 102212233122023. The reversal of 102212233122020 is 20221332212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (102212233122023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30743756 + ... + 33905795.

It is an arithmetic number, because the mean of its divisors is an integer number (2671836685056).

Almost surely, 2102212233122020 is an apocalyptic number.

102212233122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212233122020 is an abundant number, since it is smaller than the sum of its proper divisors (154284088643356).

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

102212233122020 is a wasteful number, since it uses less digits than its factorization.

102212233122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64650081 (or 64650079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102212233122020 its reverse (20221332212201), we get a palindrome (122433565334221).

The spelling of 102212233122020 in words is "one hundred two trillion, two hundred twelve billion, two hundred thirty-three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 491 644 805 982 1610 1964 2455 3220 3437 4910 6874 9820 11293 13748 17185 22586 34370 45172 56465 68740 79051 112930 158102 225860 316204 395255 790510 1581020 64649551 129299102 258598204 323247755 452546857 646495510 905093714 1292991020 1486939673 1810187428 2262734285 2973879346 4525468570 5947758692 7434698365 9050937140 10408577711 14869396730 20817155422 29738793460 31742929541 41634310844 52042888555 63485859082 104085777110 126971718164 158714647705 208171554220 222200506787 317429295410 444401013574 634858590820 730087379443 888802027148 1111002533935 1460174758886 2222005067870 2920349517772 3650436897215 4444010135740 5110611656101 7300873794430 10221223312202 14601747588860 20442446624404 25553058280505 51106116561010 102212233122020