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10100212100220 = 22351131194906493
BaseRepresentation
bin1001001011111010001110…
…0011011110110001111100
31022202120102010222101212210
42102332203203132301330
52310440213244201340
633251550130100420
72061500446214634
oct222764343366174
938676363871783
1010100212100220
113244526467160
1211715a471a710
135835a489aa48
1426cbd24016c4
15127ae2ac7180
hex92fa38dec7c

10100212100220 has 96 divisors (see below), whose sum is σ = 30861454740480. Its totient is φ = 2447750728960.

The previous prime is 10100212100191. The next prime is 10100212100239. The reversal of 10100212100220 is 2200121200101.

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 = 10100212100196 and 10100212100205.

It is a congruent number.

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, 394707 + ... + 4511786.

It is an arithmetic number, because the mean of its divisors is an integer number (321473486880).

Almost surely, 210100212100220 is an apocalyptic number.

10100212100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100212100220 is an abundant number, since it is smaller than the sum of its proper divisors (20761242640260).

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

10100212100220 is a wasteful number, since it uses less digits than its factorization.

10100212100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909635 (or 4909633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100212100220 its reverse (2200121200101), we get a palindrome (12300333300321).

The spelling of 10100212100220 in words is "ten trillion, one hundred billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3119 6238 9357 12476 15595 18714 31190 34309 37428 46785 62380 68618 93570 102927 137236 171545 187140 205854 343090 411708 514635 686180 1029270 2058540 4906493 9812986 14719479 19625972 24532465 29438958 49064930 53971423 58877916 73597395 98129860 107942846 147194790 161914269 215885692 269857115 294389580 323828538 539714230 647657076 809571345 1079428460 1619142690 3238285380 15303351667 30606703334 45910055001 61213406668 76516758335 91820110002 153033516670 168336868337 183640220004 229550275005 306067033340 336673736674 459100550010 505010605011 673347473348 841684341685 918201100020 1010021210022 1683368683370 2020042420044 2525053025055 3366737366740 5050106050110 10100212100220