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1220102000 = 245313167281
BaseRepresentation
bin100100010111001…
…0100011101110000
310011000211121021222
41020232110131300
54444321231000
6321023004212
742143460455
oct11056243560
93130747258
101220102000
11576796767
122a0739668
13165a12160
14b808382c
15721aba85
hex48b94770

1220102000 has 160 divisors (see below), whose sum is σ = 3207544704. Its totient is φ = 446208000.

The previous prime is 1220101969. The next prime is 1220102003. The reversal of 1220102000 is 2010221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4341860 + ... + 4342140.

Almost surely, 21220102000 is an apocalyptic number.

1220102000 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 1220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603772352).

1220102000 is an abundant number, since it is smaller than the sum of its proper divisors (1987442704).

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

1220102000 is a wasteful number, since it uses less digits than its factorization.

1220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1220102000 is about 34929.9584883807. The cubic root of 1220102000 is about 1068.5595080164.

Adding to 1220102000 its reverse (2010221), we get a palindrome (1222112221).

The spelling of 1220102000 in words is "one billion, two hundred twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 167 200 208 250 260 281 325 334 400 500 520 562 650 668 835 1000 1040 1124 1300 1336 1405 1625 1670 2000 2171 2248 2600 2672 2810 3250 3340 3653 4175 4342 4496 5200 5620 6500 6680 7025 7306 8350 8684 10855 11240 13000 13360 14050 14612 16700 17368 18265 20875 21710 22480 26000 28100 29224 33400 34736 35125 36530 41750 43420 46927 54275 56200 58448 66800 70250 73060 83500 86840 91325 93854 108550 112400 140500 146120 167000 173680 182650 187708 217100 234635 271375 281000 292240 334000 365300 375416 434200 456625 469270 542750 562000 610051 730600 750832 868400 913250 938540 1085500 1173175 1220102 1461200 1826500 1877080 2171000 2346350 2440204 3050255 3653000 3754160 4342000 4692700 4880408 5865875 6100510 7306000 9385400 9760816 11731750 12201020 15251275 18770800 23463500 24402040 30502550 46927000 48804080 61005100 76256375 93854000 122010200 152512750 244020400 305025500 610051000 1220102000