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10002022211220 = 2235132986392723
BaseRepresentation
bin1001000110001100011011…
…1110110001111010010100
31022102011222010101020010020
42101203012332301322110
52302333120141224340
633134510544025140
72051423302014654
oct221430676617224
938364863336106
1010002022211220
113206919871266
1211565610021b0
135772570ab600
1426815992a364
151252977419d0
hex918c6fb1e94

10002022211220 has 72 divisors (see below), whose sum is σ = 30325657906656. Its totient is φ = 2462036234112.

The previous prime is 10002022211219. The next prime is 10002022211263. The reversal of 10002022211220 is 2211222020001.

10002022211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100020222112203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002022211220.

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, 493186222 + ... + 493206501.

It is an arithmetic number, because the mean of its divisors is an integer number (421189693148).

Almost surely, 210002022211220 is an apocalyptic number.

10002022211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002022211220 is an abundant number, since it is smaller than the sum of its proper divisors (20323635695436).

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

10002022211220 is a wasteful number, since it uses less digits than its factorization.

10002022211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986392761 (or 986392746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002022211220 its reverse (2211222020001), we get a palindrome (12213244231221).

The spelling of 10002022211220 in words is "ten trillion, two billion, twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 986392723 1972785446 2959178169 3945570892 4931963615 5918356338 9863927230 11836712676 12823105399 14795890845 19727854460 25646210798 29591781690 38469316197 51292421596 59183563380 64115526995 76938632394 128231053990 153877264788 166700370187 192346580985 256462107980 333400740374 384693161970 500101110561 666801480748 769386323940 833501850935 1000202221122 1667003701870 2000404442244 2500505552805 3334007403740 5001011105610 10002022211220