Search a number
-
+
1102201120100 = 2252157293923887
BaseRepresentation
bin10000000010100000010…
…011100110010101100100
310220100222021212020212102
4100002200103212111210
5121024301441320400
62202202203111232
7142426366640213
oct20024023462544
93810867766772
101102201120100
11395493886113
12159744b12518
137cc24b0c6c2
143b4bd95707a
151da0dd3e9d5
hex100a04e6564

1102201120100 has 72 divisors (see below), whose sum is σ = 2407930465920. Its totient is φ = 437904904320.

The previous prime is 1102201120093. The next prime is 1102201120117. The reversal of 1102201120100 is 10211022011.

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, 46130357 + ... + 46154243.

Almost surely, 21102201120100 is an apocalyptic number.

1102201120100 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 1102201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203965232960).

1102201120100 is an abundant number, since it is smaller than the sum of its proper divisors (1305729345820).

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

1102201120100 is a wasteful number, since it uses less digits than its factorization.

1102201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26997 (or 26990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1102201120100 its reverse (10211022011), we get a palindrome (1112412142111).

The spelling of 1102201120100 in words is "one trillion, one hundred two billion, two hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 2939 3140 3925 5878 7850 11756 14695 15700 23887 29390 47774 58780 73475 95548 119435 146950 238870 293900 461423 477740 597175 922846 1194350 1845692 2307115 2388700 3750259 4614230 7500518 9228460 11535575 15001036 18751295 23071150 37502590 46142300 70203893 75005180 93756475 140407786 187512950 280815572 351019465 375025900 702038930 1404077860 1755097325 3510194650 7020389300 11022011201 22044022402 44088044804 55110056005 110220112010 220440224020 275550280025 551100560050 1102201120100