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10222212100100 = 225271113102120001
BaseRepresentation
bin1001010011000000101101…
…0100100011000000000100
31100012020022112111112102212
42110300023110203000010
52314440042244200400
633424004105322552
72103346642131530
oct224601324430004
940166275445385
1010222212100100
113291241268840
121191172196458
13591c4822c3a0
14274a87202bc0
1512ad83440335
hex94c0b523004

10222212100100 has 144 divisors (see below), whose sum is σ = 29783094343296. Its totient is φ = 2941056000000.

The previous prime is 10222212100069. The next prime is 10222212100153. The reversal of 10222212100100 is 100121222201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50959901 + ... + 51160100.

Almost surely, 210222212100100 is an apocalyptic number.

10222212100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222212100100 is an abundant number, since it is smaller than the sum of its proper divisors (19560882243196).

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

10222212100100 is a wasteful number, since it uses less digits than its factorization.

10222212100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102120046 (or 102120039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222212100100 its reverse (100121222201), we get a palindrome (10322333322301).

The spelling of 10222212100100 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 102120001 204240002 408480004 510600005 714840007 1021200010 1123320011 1327560013 1429680014 2042400020 2246640022 2553000025 2655120026 2859360028 3574200035 4493280044 5106000050 5310240052 5616600055 6637800065 7148400070 7863240077 9292920091 10212000100 11233200110 13275600130 14296800140 14603160143 15726480154 17871000175 18585840182 22466400220 26551200260 28083000275 29206320286 31452960308 33189000325 35742000350 37171680364 39316200385 46464600455 56166000550 58412640572 66378000650 71484000700 73015800715 78632400770 92929200910 102222121001 112332001100 132756001300 146031601430 157264801540 185858401820 196581001925 204444242002 232323002275 292063202860 365079003575 393162003850 408888484004 464646004550 511110605005 730158007150 786324007700 929292009100 1022221210010 1460316014300 2044442420020 2555553025025 5111106050050 10222212100100