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100222210020 = 223597127135593
BaseRepresentation
bin101110101010110110…
…1011000111111100100
3100120200122202210002110
41131111231120333210
53120223341210040
6114012541441020
710145412505062
oct1352555307744
9316618683073
10100222210020
113955a908849
1217510270170
1395b287206a
144bca785032
1529189ce980
hex1755b58fe4

100222210020 has 96 divisors (see below), whose sum is σ = 285749710848. Its totient is φ = 26241933312.

The previous prime is 100222210019. The next prime is 100222210037. The reversal of 100222210020 is 20012222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100222209978 and 100222210005.

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, 671344 + ... + 806936.

It is an arithmetic number, because the mean of its divisors is an integer number (2976559488).

Almost surely, 2100222210020 is an apocalyptic number.

100222210020 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 100222210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142874855424).

100222210020 is an abundant number, since it is smaller than the sum of its proper divisors (185527500828).

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

100222210020 is a wasteful number, since it uses less digits than its factorization.

100222210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135829 (or 135827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100222210020 its reverse (20012222001), we get a palindrome (120234432021).

The spelling of 100222210020 in words is "one hundred billion, two hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 127 194 254 291 381 388 485 508 582 635 762 970 1164 1270 1455 1524 1905 1940 2540 2910 3810 5820 7620 12319 24638 36957 49276 61595 73914 123190 135593 147828 184785 246380 271186 369570 406779 542372 677965 739140 813558 1355930 1627116 2033895 2711860 4067790 8135580 13152521 17220311 26305042 34440622 39457563 51660933 52610084 65762605 68881244 78915126 86101555 103321866 131525210 157830252 172203110 197287815 206643732 258304665 263050420 344406220 394575630 516609330 789151260 1033218660 1670370167 3340740334 5011110501 6681480668 8351850835 10022221002 16703701670 20044442004 25055552505 33407403340 50111105010 100222210020