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10122200211220 = 2256192143381533
BaseRepresentation
bin1001001101001100001000…
…1001011101111100010100
31022211200011112111011201021
42103103002021131330110
52311320231223224340
633310024035410524
72063206362115546
oct223230211357424
938750145434637
1010122200211220
11325288a152419
121175900453a44
1358569a119406
1426dcba769696
1512847d157e4a
hex934c225df14

10122200211220 has 48 divisors (see below), whose sum is σ = 21300951651840. Its totient is φ = 4040442193536.

The previous prime is 10122200211217. The next prime is 10122200211223. The reversal of 10122200211220 is 2211200222101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10122200211217) and next prime (10122200211223).

It is a super-2 number, since 2×101222002112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122200211194 and 10122200211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122200211223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26339574 + ... + 26721106.

It is an arithmetic number, because the mean of its divisors is an integer number (443769826080).

Almost surely, 210122200211220 is an apocalyptic number.

10122200211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122200211220 is an abundant number, since it is smaller than the sum of its proper divisors (11178751440620).

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

10122200211220 is a wasteful number, since it uses less digits than its factorization.

10122200211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384304 (or 384302 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122200211220 its reverse (2211200222101), we get a palindrome (12333400433321).

The spelling of 10122200211220 in words is "ten trillion, one hundred twenty-two billion, two hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 619 1238 2143 2476 3095 4286 6190 8572 10715 12380 21430 42860 381533 763066 1326517 1526132 1907665 2653034 3815330 5306068 6632585 7630660 13265170 26530340 236168927 472337854 817625219 944675708 1180844635 1635250438 2361689270 3270500876 4088126095 4723378540 8176252190 16352504380 506110010561 1012220021122 2024440042244 2530550052805 5061100105610 10122200211220