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101032011220 = 22572234795369
BaseRepresentation
bin101111000010111111…
…0100010010111010100
3100122210002112221111111
41132011332202113110
53123403143324340
6114225150344404
710204444632400
oct1360576422724
9318702487444
10101032011220
1139935a33438
12176b74bb104
1396b157717a
144c66142100
152964b40aea
hex1785fa25d4

101032011220 has 144 divisors (see below), whose sum is σ = 263019778560. Its totient is φ = 32428171776.

The previous prime is 101032011209. The next prime is 101032011221. The reversal of 101032011220 is 22110230101.

It is a self number, because there is not a number n which added to its sum of digits gives 101032011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032011221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011696 + ... + 1107064.

It is an arithmetic number, because the mean of its divisors is an integer number (1826526240).

Almost surely, 2101032011220 is an apocalyptic number.

101032011220 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 101032011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131509889280).

101032011220 is an abundant number, since it is smaller than the sum of its proper divisors (161987767340).

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

101032011220 is a wasteful number, since it uses less digits than its factorization.

101032011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95462 (or 95453 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101032011220 its reverse (22110230101), we get a palindrome (123142241321).

The spelling of 101032011220 in words is "one hundred one billion, thirty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 47 49 70 92 94 98 115 140 161 188 196 230 235 245 322 329 460 470 490 644 658 805 940 980 1081 1127 1316 1610 1645 2162 2254 2303 3220 3290 4324 4508 4606 5405 5635 6580 7567 9212 10810 11270 11515 15134 21620 22540 23030 30268 37835 46060 52969 75670 95369 105938 151340 190738 211876 264845 381476 476845 529690 667583 953690 1059380 1335166 1907380 2193487 2670332 3337915 4386974 4482343 4673081 6675830 8773948 8964686 9346162 10967435 13351660 15354409 17929372 18692324 21934870 22411715 23365405 30708818 31376401 43869740 44823430 46730810 61417636 62752802 76772045 89646860 93461620 103093889 107480863 125505604 153544090 156882005 206187778 214961726 219634807 307088180 313764010 412375556 429923452 439269614 515469445 537404315 627528020 721657223 878539228 1030938890 1074808630 1098174035 1443314446 2061877780 2149617260 2196348070 2886628892 3608286115 4392696140 5051600561 7216572230 10103201122 14433144460 20206402244 25258002805 50516005610 101032011220