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1022120211020 = 22519151151111789
BaseRepresentation
bin11101101111110110001…
…11001011001001001100
310121201021022111120110212
432313323013023021030
5113221300233223040
62101315555221552
7133563043305116
oct16677307131114
93551238446425
101022120211020
1136452a237927
12146115ba78b8
1375501cb97bc
143768415a3b6
151b8c36dcd65
hexedfb1cb24c

1022120211020 has 96 divisors (see below), whose sum is σ = 2276084966400. Its totient is φ = 384477408000.

The previous prime is 1022120211019. The next prime is 1022120211061. The reversal of 1022120211020 is 201120212201.

It is a junction number, because it is equal to n+sod(n) for n = 1022120210986 and 1022120211004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86695286 + ... + 86707074.

It is an arithmetic number, because the mean of its divisors is an integer number (23709218400).

Almost surely, 21022120211020 is an apocalyptic number.

1022120211020 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 1022120211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138042483200).

1022120211020 is an abundant number, since it is smaller than the sum of its proper divisors (1253964755380).

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

1022120211020 is a wasteful number, since it uses less digits than its factorization.

1022120211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022120211020 its reverse (201120212201), we get a palindrome (1223240423221).

The spelling of 1022120211020 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 380 604 755 1510 1511 2869 3020 3022 5738 6044 7555 11476 11789 14345 15110 23578 28690 28709 30220 47156 57380 57418 58945 114836 117890 143545 223991 228161 235780 287090 447982 456322 574180 895964 912644 1119955 1140805 1780139 2239910 2281610 3560278 4335059 4479820 4563220 7120556 8670118 8900695 17340236 17801390 17813179 21675295 33822641 35602780 35626358 43350590 67645282 71252716 86701180 89065895 135290564 169113205 178131790 338226410 338450401 356263580 676452820 676900802 1353801604 1692252005 2689790029 3384504010 5379580058 6769008020 10759160116 13448950145 26897900290 51106010551 53795800580 102212021102 204424042204 255530052755 511060105510 1022120211020