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10101220020 = 2234541152081
BaseRepresentation
bin10010110100001010…
…00110001010110100
3222001222020010220000
421122011012022310
5131141403020040
64350200111300
7505213645023
oct113205061264
928058203800
1010101220020
11431396a121
121b5aa65530
13c4c96a388
146bb7908ba
153e1c04130
hex25a1462b4

10101220020 has 120 divisors (see below), whose sum is σ = 32460990408. Its totient is φ = 2627942400.

The previous prime is 10101220013. The next prime is 10101220043. The reversal of 10101220020 is 2002210101.

It can be written as a sum of positive squares in 4 ways, for example, as 63584676 + 10037635344 = 7974^2 + 100188^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101219984 and 10101220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9621 + ... + 142460.

Almost surely, 210101220020 is an apocalyptic number.

10101220020 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 10101220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230495204).

10101220020 is an abundant number, since it is smaller than the sum of its proper divisors (22359770388).

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

10101220020 is a wasteful number, since it uses less digits than its factorization.

10101220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152143 (or 152132 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10101220020 its reverse (2002210101), we get a palindrome (12103430121).

The spelling of 10101220020 in words is "ten billion, one hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5535 6642 7380 11070 13284 16605 22140 33210 66420 152081 304162 456243 608324 760405 912486 1368729 1520810 1824972 2281215 2737458 3041620 4106187 4562430 5474916 6235321 6843645 8212374 9124860 12318561 12470642 13687290 16424748 18705963 20530935 24637122 24941284 27374580 31176605 37411926 41061870 49274244 56117889 61592805 62353210 74823852 82123740 93529815 112235778 123185610 124706420 168353667 187059630 224471556 246371220 280589445 336707334 374119260 505061001 561178890 673414668 841768335 1010122002 1122357780 1683536670 2020244004 2525305005 3367073340 5050610010 10101220020