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100120222002200 = 23524119876144833
BaseRepresentation
bin10110110000111100001110…
…010001000110110000011000
3111010111101210102020000112212
4112300330032101012300120
5101110332203313032300
6552534332305254252
730042306302250341
oct2660741621066030
9433441712200485
10100120222002200
11299a0825211894
12b28bb77934388
1343b33b131c15a
141aa1bb78270c8
15b89553ec8935
hex5b0f0e446c18

100120222002200 has 96 divisors (see below), whose sum is σ = 238577112743760. Its totient is φ = 39051636326400.

The previous prime is 100120222002197. The next prime is 100120222002257. The reversal of 100120222002200 is 2200222021001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13220984 + ... + 19365816.

Almost surely, 2100120222002200 is an apocalyptic number.

100120222002200 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 100120222002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119288556371880).

100120222002200 is an abundant number, since it is smaller than the sum of its proper divisors (138456890741560).

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

100120222002200 is a wasteful number, since it uses less digits than its factorization.

100120222002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146877 (or 6146868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100120222002200 its reverse (2200222021001), we get a palindrome (102320444023201).

The spelling of 100120222002200 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-two million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 1987 2050 3974 4100 7948 8200 9935 15896 19870 39740 49675 79480 81467 99350 162934 198700 325868 397400 407335 651736 814670 1629340 2036675 3258680 4073350 6144833 8146700 12289666 16293400 24579332 30724165 49158664 61448330 122896660 153620825 245793320 251938153 307241650 503876306 614483300 1007752612 1228966600 1259690765 2015505224 2519381530 5038763060 6298453825 10077526120 12209783171 12596907650 24419566342 25193815300 48839132684 50387630600 61048915855 97678265368 122097831710 244195663420 305244579275 488391326840 500601110011 610489158550 1001202220022 1220978317100 2002404440044 2441956634200 2503005550055 4004808880088 5006011100110 10012022200220 12515027750275 20024044400440 25030055500550 50060111001100 100120222002200