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103022100020 = 22572334792203
BaseRepresentation
bin101111111110010011…
…0000111111000110100
3100211220210020221010002
41133330212013320310
53141442124200040
6115154441050432
710304661254510
oct1377446077064
9324823227102
10103022100020
113a767320624
1217b71a86a18
13993a9611c8
144db457b140
152a2e6e6a15
hex17fc987e34

103022100020 has 96 divisors (see below), whose sum is σ = 258749503488. Its totient is φ = 33688397952.

The previous prime is 103022100001. The next prime is 103022100031. The reversal of 103022100020 is 20001220301.

It is a happy number.

It is a super-2 number, since 2×1030221000202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103022099974 and 103022100010.

It is a congruent number.

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, 1071239 + ... + 1163441.

It is an arithmetic number, because the mean of its divisors is an integer number (2695307328).

Almost surely, 2103022100020 is an apocalyptic number.

103022100020 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 103022100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129374751744).

103022100020 is an abundant number, since it is smaller than the sum of its proper divisors (155727403468).

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

103022100020 is a wasteful number, since it uses less digits than its factorization.

103022100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92589 (or 92587 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 103022100020 its reverse (20001220301), we get a palindrome (123023320321).

The spelling of 103022100020 in words is "one hundred three billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 347 460 644 694 805 1388 1610 1735 2429 3220 3470 4858 6940 7981 9716 12145 15962 24290 31924 39905 48580 55867 79810 92203 111734 159620 184406 223468 279335 368812 461015 558670 645421 922030 1117340 1290842 1844060 2120669 2581684 3227105 4241338 6454210 8482676 10603345 12908420 14844683 21206690 29689366 31994441 42413380 59378732 63988882 74223415 127977764 148446830 159972205 223961087 296893660 319944410 447922174 639888820 735872143 895844348 1119805435 1471744286 2239610870 2943488572 3679360715 4479221740 5151105001 7358721430 10302210002 14717442860 20604420004 25755525005 51511050010 103022100020